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56486772 = 223219269307
BaseRepresentation
bin1101011101111…
…0101101110100
310221021211021200
43113132231310
5103430034042
65334412500
71254062316
oct327365564
9127254250
1056486772
1129981391
1216b01130
13b919b34
1477057b6
154e5bc4c
hex35deb74

56486772 has 72 divisors (see below), whose sum is σ = 151351200. Its totient is φ = 17713728.

The previous prime is 56486761. The next prime is 56486783. The reversal of 56486772 is 27768465.

56486772 is a `hidden beast` number, since 564 + 86 + 7 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (56486761) and next prime (56486783).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183843 + ... + 184149.

It is an arithmetic number, because the mean of its divisors is an integer number (2102100).

Almost surely, 256486772 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 56486772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75675600).

56486772 is an abundant number, since it is smaller than the sum of its proper divisors (94864428).

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

56486772 is a wasteful number, since it uses less digits than its factorization.

56486772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 600 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 56486772 is about 7515.7682242070. The cubic root of 56486772 is about 383.6915654782.

The spelling of 56486772 in words is "fifty-six million, four hundred eighty-six thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 269 307 342 538 614 684 807 921 1076 1228 1614 1842 2421 2763 3228 3684 4842 5111 5526 5833 9684 10222 11052 11666 15333 17499 20444 23332 30666 34998 45999 52497 61332 69996 82583 91998 104994 165166 183996 209988 247749 330332 495498 743247 990996 1486494 1569077 2972988 3138154 4707231 6276308 9414462 14121693 18828924 28243386 56486772