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56574240 = 2535432741
BaseRepresentation
bin1101011111010…
…0000100100000
310221110021021020
43113310010200
5103440333430
65340325440
71254605322
oct327640440
9127407236
1056574240
1129a31078
1216b43880
13b94a8a8
147729612
154e77b10
hex35f4120

56574240 has 96 divisors (see below), whose sum is σ = 182419776. Its totient is φ = 14730240.

The previous prime is 56574239. The next prime is 56574253. The reversal of 56574240 is 4247565.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 19270 + ... + 22010.

It is an arithmetic number, because the mean of its divisors is an integer number (1900206).

Almost surely, 256574240 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 56574240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91209888).

56574240 is an abundant number, since it is smaller than the sum of its proper divisors (125845536).

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

56574240 is a wasteful number, since it uses less digits than its factorization.

56574240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 56574240 is about 7521.5849393595. The cubic root of 56574240 is about 383.8895081408.

The spelling of 56574240 in words is "fifty-six million, five hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 645 688 860 1032 1290 1376 1720 2064 2580 2741 3440 4128 5160 5482 6880 8223 10320 10964 13705 16446 20640 21928 27410 32892 41115 43856 54820 65784 82230 87712 109640 117863 131568 164460 219280 235726 263136 328920 353589 438560 471452 589315 657840 707178 942904 1178630 1315680 1414356 1767945 1885808 2357260 2828712 3535890 3771616 4714520 5657424 7071780 9429040 11314848 14143560 18858080 28287120 56574240