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56905728 = 212311421
BaseRepresentation
bin1101100100010…
…1000000000000
310222002002222120
43121011000000
5104031440403
65351404240
71260455625
oct331050000
9128062876
1056905728
112a138130
1217083680
13ba35739
1477b434c
154ee0e53
hex3645000

56905728 has 104 divisors (see below), whose sum is σ = 165916896. Its totient is φ = 17203200.

The previous prime is 56905721. The next prime is 56905747. The reversal of 56905728 is 82750965.

It is a self number, because there is not a number n which added to its sum of digits gives 56905728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56905721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134958 + ... + 135378.

Almost surely, 256905728 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 56905728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82958448).

56905728 is an abundant number, since it is smaller than the sum of its proper divisors (109011168).

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

56905728 is a wasteful number, since it uses less digits than its factorization.

56905728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 56905728 is about 7543.5885359688. The cubic root of 56905728 is about 384.6378288605.

The spelling of 56905728 in words is "fifty-six million, nine hundred five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 421 512 528 704 768 842 1024 1056 1263 1408 1536 1684 2048 2112 2526 2816 3072 3368 4096 4224 4631 5052 5632 6144 6736 8448 9262 10104 11264 12288 13472 13893 16896 18524 20208 22528 26944 27786 33792 37048 40416 45056 53888 55572 67584 74096 80832 107776 111144 135168 148192 161664 215552 222288 296384 323328 431104 444576 592768 646656 862208 889152 1185536 1293312 1724416 1778304 2371072 2586624 3556608 4742144 5173248 7113216 9484288 14226432 18968576 28452864 56905728