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56752416 = 2532728151
BaseRepresentation
bin1101100001111…
…1100100100000
310221210022200100
43120133210200
5104012034131
65344222400
71256246640
oct330374440
9127708610
1056752416
112a042a26
121700aa00
13b9b0a16
147774520
154eb07e6
hex361f920

56752416 has 72 divisors (see below), whose sum is σ = 184451904. Its totient is φ = 16214400.

The previous prime is 56752393. The next prime is 56752427. The reversal of 56752416 is 61425765.

It is a happy number.

56752416 is a `hidden beast` number, since 567 + 52 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 12060 + ... + 16091.

It is an arithmetic number, because the mean of its divisors is an integer number (2561832).

Almost surely, 256752416 is an apocalyptic number.

56752416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

56752416 is an abundant number, since it is smaller than the sum of its proper divisors (127699488).

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

56752416 is a wasteful number, since it uses less digits than its factorization.

56752416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28174 (or 28163 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 56752416 is about 7533.4199405051. The cubic root of 56752416 is about 384.2920954651.

The spelling of 56752416 in words is "fifty-six million, seven hundred fifty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 28151 56302 84453 112604 168906 197057 225208 253359 337812 394114 450416 506718 591171 675624 788228 900832 1013436 1182342 1351248 1576456 1773513 2026872 2364684 2702496 3152912 3547026 4053744 4729368 6305824 7094052 8107488 9458736 14188104 18917472 28376208 56752416