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486736992 = 25337211497
BaseRepresentation
bin11101000000110…
…000010001100000
31020220212210122000
4131000300101200
51444101040432
6120144244000
715030124200
oct3500602140
91226783560
10486736992
1122a828785
12117010600
1379ac0271
1448902400
152cae857c
hex1d030460

486736992 has 144 divisors (see below), whose sum is σ = 1651572720. Its totient is φ = 139055616.

The previous prime is 486736969. The next prime is 486737011. The reversal of 486736992 is 299637684.

It is a happy number.

486736992 is a `hidden beast` number, since 486 + 73 + 6 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 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, 36588 + ... + 48084.

It is an arithmetic number, because the mean of its divisors is an integer number (11469255).

Almost surely, 2486736992 is an apocalyptic number.

486736992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486736992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825786360).

486736992 is an abundant number, since it is smaller than the sum of its proper divisors (1164835728).

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

486736992 is a wasteful number, since it uses less digits than its factorization.

486736992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11530 (or 11509 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 486736992 is about 22062.1166708909. The cubic root of 486736992 is about 786.6196384156.

The spelling of 486736992 in words is "four hundred eighty-six million, seven hundred thirty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5292 6048 7056 10584 11497 14112 21168 22994 34491 42336 45988 68982 80479 91976 103473 137964 160958 183952 206946 241437 275928 310419 321916 367904 413892 482874 551856 563353 620838 643832 724311 827784 965748 1103712 1126706 1241676 1287664 1448622 1655568 1690059 1931496 2172933 2253412 2483352 2575328 2897244 3311136 3380118 3862992 4345866 4506824 4966704 5070177 5794488 6760236 7725984 8691732 9013648 9933408 10140354 11588976 13520472 15210531 17383464 18027296 20280708 23177952 27040944 30421062 34766928 40561416 54081888 60842124 69533856 81122832 121684248 162245664 243368496 486736992