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56252800 = 275217579
BaseRepresentation
bin1101011010010…
…1100110000000
310220211221100001
43112211212000
5103400042200
65325405344
71252066222
oct326454600
9126757301
1056252800
112983161a
1216a09854
13b8674a6
147684412
154e1276a
hex35a5980

56252800 has 48 divisors (see below), whose sum is σ = 138969900. Its totient is φ = 22499840.

The previous prime is 56252773. The next prime is 56252821. The reversal of 56252800 is 825265.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5590 + ... + 11989.

Almost surely, 256252800 is an apocalyptic number.

56252800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56252800 is an abundant number, since it is smaller than the sum of its proper divisors (82717100).

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

56252800 is a wasteful number, since it uses less digits than its factorization.

56252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17603 (or 17586 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 56252800 is about 7500.1866643438. The cubic root of 56252800 is about 383.1610736214.

The spelling of 56252800 in words is "fifty-six million, two hundred fifty-two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 17579 35158 70316 87895 140632 175790 281264 351580 439475 562528 703160 878950 1125056 1406320 1757900 2250112 2812640 3515800 5625280 7031600 11250560 14063200 28126400 56252800