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56933376 = 210343431
BaseRepresentation
bin1101100100101…
…1110000000000
310222010111220120
43121023300000
5104033332001
65352140240
71260632343
oct331136000
9128114816
1056933376
112a156985
1217097680
13ba451b6
1477c045a
154ee9236
hex364bc00

56933376 has 88 divisors (see below), whose sum is σ = 155637504. Its totient is φ = 18493440.

The previous prime is 56933363. The next prime is 56933377. The reversal of 56933376 is 67333965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56933377) 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, 131881 + ... + 132311.

It is an arithmetic number, because the mean of its divisors is an integer number (1768608).

Almost surely, 256933376 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 56933376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77818752).

56933376 is an abundant number, since it is smaller than the sum of its proper divisors (98704128).

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

56933376 is a wasteful number, since it uses less digits than its factorization.

56933376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 479 counting only the distinct ones).

The product of its digits is 306180, while the sum is 42.

The square root of 56933376 is about 7545.4208630135. The cubic root of 56933376 is about 384.7001116643.

The spelling of 56933376 in words is "fifty-six million, nine hundred thirty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 431 512 516 688 768 862 1024 1032 1293 1376 1536 1724 2064 2586 2752 3072 3448 4128 5172 5504 6896 8256 10344 11008 13792 16512 18533 20688 22016 27584 33024 37066 41376 44032 55168 55599 66048 74132 82752 110336 111198 132096 148264 165504 220672 222396 296528 331008 441344 444792 593056 662016 889584 1186112 1324032 1779168 2372224 3558336 4744448 7116672 9488896 14233344 18977792 28466688 56933376