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56763520 = 275112733
BaseRepresentation
bin1101100010001…
…0010010000000
310221210212220121
43120202102000
5104012413040
65344350024
71256324212
oct330422200
9127725817
1056763520
112a050300
1217015314
13b9b5aa8
1477785b2
154eb3c4a
hex3622480

56763520 has 96 divisors (see below), whose sum is σ = 149361660. Its totient is φ = 20613120.

The previous prime is 56763503. The next prime is 56763533. The reversal of 56763520 is 2536765.

It can be written as a sum of positive squares in 2 ways, for example, as 53348416 + 3415104 = 7304^2 + 1848^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77074 + ... + 77806.

Almost surely, 256763520 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 56763520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74680830).

56763520 is an abundant number, since it is smaller than the sum of its proper divisors (92598140).

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

56763520 is a wasteful number, since it uses less digits than its factorization.

56763520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 34.

The square root of 56763520 is about 7534.1568871374. The cubic root of 56763520 is about 384.3171569600.

The spelling of 56763520 in words is "fifty-six million, seven hundred sixty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 128 160 176 220 242 320 352 440 484 605 640 704 733 880 968 1210 1408 1466 1760 1936 2420 2932 3520 3665 3872 4840 5864 7040 7330 7744 8063 9680 11728 14660 15488 16126 19360 23456 29320 32252 38720 40315 46912 58640 64504 77440 80630 88693 93824 117280 129008 161260 177386 234560 258016 322520 354772 443465 469120 516032 645040 709544 886930 1032064 1290080 1419088 1773860 2580160 2838176 3547720 5160320 5676352 7095440 11352704 14190880 28381760 56763520