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57463056 = 24327109523
BaseRepresentation
bin1101101100110…
…1000100010000
311000010102111100
43123031010100
5104202304211
65411344400
71265266530
oct333150420
9130112440
1057463056
112a488932
12172b2100
13bb9c311
1478bb4c0
1550a1156
hex36cd110

57463056 has 120 divisors (see below), whose sum is σ = 185831360. Its totient is φ = 16236288.

The previous prime is 57463051. The next prime is 57463067. The reversal of 57463056 is 65036475.

57463056 is a `hidden beast` number, since 574 + 6 + 30 + 56 = 666.

It is a super-3 number, since 3×574630563 (a number of 24 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 57463056.

It is not an unprimeable number, because it can be changed into a prime (57463051) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 109611 + ... + 110133.

Almost surely, 257463056 is an apocalyptic number.

57463056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57463056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92915680).

57463056 is an abundant number, since it is smaller than the sum of its proper divisors (128368304).

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

57463056 is a wasteful number, since it uses less digits than its factorization.

57463056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 57463056 is about 7580.4390374173. The cubic root of 57463056 is about 385.8894508338.

The spelling of 57463056 in words is "fifty-seven million, four hundred sixty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 109 112 126 144 168 218 252 327 336 436 504 523 654 763 872 981 1008 1046 1308 1526 1569 1744 1962 2092 2289 2616 3052 3138 3661 3924 4184 4578 4707 5232 6104 6276 6867 7322 7848 8368 9156 9414 10983 12208 12552 13734 14644 15696 18312 18828 21966 25104 27468 29288 32949 36624 37656 43932 54936 57007 58576 65898 75312 87864 109872 114014 131796 171021 175728 228028 263592 342042 399049 456056 513063 527184 684084 798098 912112 1026126 1197147 1368168 1596196 2052252 2394294 2736336 3192392 3591441 4104504 4788588 6384784 7182882 8209008 9577176 14365764 19154352 28731528 57463056