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481998384 = 24337198389
BaseRepresentation
bin11100101110101…
…011011000110000
31020120222001111000
4130232223120300
51441342422014
6115454522000
714641630050
oct3456533060
91216861430
10481998384
1122809157a
12115506300
1378b2145a
144802b560
152c4ae509
hex1cbab630

481998384 has 160 divisors (see below), whose sum is σ = 1664576000. Its totient is φ = 130450176.

The previous prime is 481998379. The next prime is 481998389. The reversal of 481998384 is 483899184.

481998384 is a `hidden beast` number, since 481 + 9 + 9 + 83 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (481998379) and next prime (481998389).

It is a super-2 number, since 2×4819983842 = 464644884357222912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 481998384.

It is not an unprimeable number, because it can be changed into a prime (481998389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53262 + ... + 61650.

It is an arithmetic number, because the mean of its divisors is an integer number (10403600).

Almost surely, 2481998384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481998384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832288000).

481998384 is an abundant number, since it is smaller than the sum of its proper divisors (1182577616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

481998384 is a wasteful number, since it uses less digits than its factorization.

481998384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8432 (or 8420 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 481998384 is about 21954.4615966778. The cubic root of 481998384 is about 784.0586083494.

The spelling of 481998384 in words is "four hundred eighty-one million, nine hundred ninety-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 38 42 48 54 56 57 63 72 76 84 108 112 114 126 133 144 152 168 171 189 216 228 252 266 304 336 342 378 399 432 456 504 513 532 684 756 798 912 1008 1026 1064 1197 1368 1512 1596 2052 2128 2394 2736 3024 3192 3591 4104 4788 6384 7182 8208 8389 9576 14364 16778 19152 25167 28728 33556 50334 57456 58723 67112 75501 100668 117446 134224 151002 159391 176169 201336 226503 234892 302004 318782 352338 402672 453006 469784 478173 528507 604008 637564 704676 906012 939568 956346 1057014 1115737 1208016 1275128 1409352 1434519 1585521 1812024 1912692 2114028 2231474 2550256 2818704 2869038 3171042 3347211 3624048 3825384 4228056 4303557 4462948 5738076 6342084 6694422 7650768 8456112 8607114 8925896 10041633 11476152 12684168 13388844 17214228 17851792 20083266 22952304 25368336 26777688 30124899 34428456 40166532 53555376 60249798 68856912 80333064 120499596 160666128 240999192 481998384