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56142688 = 257534729
BaseRepresentation
bin1101011000101…
…0101101100000
310220122100021211
43112022231200
5103333031223
65323155504
71251130210
oct326125540
9126570254
1056142688
1129766918
1216975b94
13b829334
147656240
154dded0d
hex358ab60

56142688 has 48 divisors (see below), whose sum is σ = 128731680. Its totient is φ = 23602176.

The previous prime is 56142683. The next prime is 56142707. The reversal of 56142688 is 88624165.

It is a self number, because there is not a number n which added to its sum of digits gives 56142688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56142683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9508 + ... + 14236.

It is an arithmetic number, because the mean of its divisors is an integer number (2681910).

Almost surely, 256142688 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 56142688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64365840).

56142688 is an abundant number, since it is smaller than the sum of its proper divisors (72588992).

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

56142688 is a wasteful number, since it uses less digits than its factorization.

56142688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4799 (or 4791 counting only the distinct ones).

The product of its digits is 92160, while the sum is 40.

The square root of 56142688 is about 7492.8424512998. The cubic root of 56142688 is about 382.9109042029.

The spelling of 56142688 in words is "fifty-six million, one hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 112 212 224 371 424 742 848 1484 1696 2968 4729 5936 9458 11872 18916 33103 37832 66206 75664 132412 151328 250637 264824 501274 529648 1002548 1059296 1754459 2005096 3508918 4010192 7017836 8020384 14035672 28071344 56142688