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56230272 = 2732719367
BaseRepresentation
bin1101011010000…
…0000110000000
310220210210102200
43112200012000
5103343332042
65325113200
71251643440
oct326400600
9126723380
1056230272
11298166aa
12169b8800
13b85a167
14767a120
154e0ac4c
hex35a0180

56230272 has 192 divisors, whose sum is σ = 195187200. Its totient is φ = 15178752.

The previous prime is 56230267. The next prime is 56230313. The reversal of 56230272 is 27203265.

56230272 is a `hidden beast` number, since 562 + 30 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×562302723 (a number of 24 digits) contains 333 as substring.

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, 153033 + ... + 153399.

It is an arithmetic number, because the mean of its divisors is an integer number (1016600).

Almost surely, 256230272 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 56230272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97593600).

56230272 is an abundant number, since it is smaller than the sum of its proper divisors (138956928).

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

56230272 is a wasteful number, since it uses less digits than its factorization.

56230272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 56230272 is about 7498.6846846630. The cubic root of 56230272 is about 383.1099176184.

The spelling of 56230272 in words is "fifty-six million, two hundred thirty thousand, two hundred seventy-two".