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481057272 = 233311319709
BaseRepresentation
bin11100101011000…
…101100111111000
31020112012020112000
4130223011213320
51441122313042
6115422421000
714630630223
oct3453054770
91215166460
10481057272
112275a94a3
12115131760
1378881c97
1447c645ba
152c37574c
hex1cac59f8

481057272 has 64 divisors (see below), whose sum is σ = 1348164000. Its totient is φ = 158925312.

The previous prime is 481057271. The next prime is 481057289. The reversal of 481057272 is 272750184.

481057272 is a `hidden beast` number, since 4 + 8 + 10 + 572 + 72 = 666.

It is a super-3 number, since 3×4810572723 (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481057271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14554 + ... + 34262.

Almost surely, 2481057272 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 481057272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674082000).

481057272 is an abundant number, since it is smaller than the sum of its proper divisors (867106728).

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

481057272 is a wasteful number, since it uses less digits than its factorization.

481057272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19837 (or 19827 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 481057272 is about 21933.0178498081. The cubic root of 481057272 is about 783.5479788827.

The spelling of 481057272 in words is "four hundred eighty-one million, fifty-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 113 216 226 339 452 678 904 1017 1356 2034 2712 3051 4068 6102 8136 12204 19709 24408 39418 59127 78836 118254 157672 177381 236508 354762 473016 532143 709524 1064286 1419048 2128572 2227117 4257144 4454234 6681351 8908468 13362702 17816936 20044053 26725404 40088106 53450808 60132159 80176212 120264318 160352424 240528636 481057272