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56058552 = 233211371913
BaseRepresentation
bin1101010111011…
…0001010111000
310220111001212200
43111312022320
5103322333202
65321310200
71250330004
oct325661270
9126431780
1056058552
1129709690
1216935360
13b7c9c54
147633704
154dc4e1c
hex35762b8

56058552 has 96 divisors (see below), whose sum is σ = 170192880. Its totient is φ = 16519680.

The previous prime is 56058551. The next prime is 56058553. The reversal of 56058552 is 25585065.

56058552 is a `hidden beast` number, since 56 + 0 + 58 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (56058551) and next prime (56058553).

It is a super-2 number, since 2×560585522 = 6285122504673408, which contains 22 as substring.

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 (56058551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28348 + ... + 30260.

Almost surely, 256058552 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 56058552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85096440).

56058552 is an abundant number, since it is smaller than the sum of its proper divisors (114134328).

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

56058552 is a wasteful number, since it uses less digits than its factorization.

56058552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 56058552 is about 7487.2259215279. The cubic root of 56058552 is about 382.7195305218.

The spelling of 56058552 in words is "fifty-six million, fifty-eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 37 44 66 72 74 88 99 111 132 148 198 222 264 296 333 396 407 444 666 792 814 888 1221 1332 1628 1913 2442 2664 3256 3663 3826 4884 5739 7326 7652 9768 11478 14652 15304 17217 21043 22956 29304 34434 42086 45912 63129 68868 70781 84172 126258 137736 141562 168344 189387 212343 252516 283124 378774 424686 505032 566248 637029 757548 778591 849372 1274058 1515096 1557182 1698744 2335773 2548116 3114364 4671546 5096232 6228728 7007319 9343092 14014638 18686184 28029276 56058552