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481190388 = 223722928219
BaseRepresentation
bin11100101011100…
…110000111110100
31020112110000010020
4130223212013310
51441141043023
6115425325140
714632023300
oct3453460764
91215400106
10481190388
1122768a508
121151967b0
13788ca753
1447c9ad00
152c39ede3
hex1cae61f4

481190388 has 72 divisors (see below), whose sum is σ = 1351173600. Its totient is φ = 132737472.

The previous prime is 481190363. The next prime is 481190393. The reversal of 481190388 is 883091184.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2943 + ... + 31161.

It is an arithmetic number, because the mean of its divisors is an integer number (18766300).

Almost surely, 2481190388 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 481190388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675586800).

481190388 is an abundant number, since it is smaller than the sum of its proper divisors (869983212).

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

481190388 is a wasteful number, since it uses less digits than its factorization.

481190388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28269 (or 28260 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 481190388 is about 21936.0522428262. The cubic root of 481190388 is about 783.6202455057.

The spelling of 481190388 in words is "four hundred eighty-one million, one hundred ninety thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 294 348 406 588 609 812 1218 1421 2436 2842 4263 5684 8526 17052 28219 56438 84657 112876 169314 197533 338628 395066 592599 790132 818351 1185198 1382731 1636702 2370396 2455053 2765462 3273404 4148193 4910106 5530924 5728457 8296386 9820212 11456914 16592772 17185371 22913828 34370742 40099199 68741484 80198398 120297597 160396796 240595194 481190388