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57553056 = 25321137491
BaseRepresentation
bin1101101110001…
…1000010100000
311000021222221200
43123203002200
5104213144211
65413321200
71266123111
oct333430240
9130258850
1057553056
112a53a510
1217336200
13bc01282
147902208
1550bcb56
hex36e30a0

57553056 has 144 divisors (see below), whose sum is σ = 183744288. Its totient is φ = 16934400.

The previous prime is 57553021. The next prime is 57553063. The reversal of 57553056 is 65035575.

57553056 is a `hidden beast` number, since 5 + 75 + 530 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 57553056.

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 23 ways as a sum of consecutive naturals, for example, 116971 + ... + 117461.

It is an arithmetic number, because the mean of its divisors is an integer number (1276002).

Almost surely, 257553056 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 57553056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91872144).

57553056 is an abundant number, since it is smaller than the sum of its proper divisors (126191232).

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

57553056 is a wasteful number, since it uses less digits than its factorization.

57553056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 78750, while the sum is 36.

The square root of 57553056 is about 7586.3730464564. The cubic root of 57553056 is about 386.0908088139.

The spelling of 57553056 in words is "fifty-seven million, five hundred fifty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 37 44 48 66 72 74 88 96 99 111 132 144 148 176 198 222 264 288 296 333 352 396 407 444 491 528 592 666 792 814 888 982 1056 1184 1221 1332 1473 1584 1628 1776 1964 2442 2664 2946 3168 3256 3552 3663 3928 4419 4884 5328 5401 5892 6512 7326 7856 8838 9768 10656 10802 11784 13024 14652 15712 16203 17676 18167 19536 21604 23568 29304 32406 35352 36334 39072 43208 47136 48609 54501 58608 64812 70704 72668 86416 97218 109002 117216 129624 141408 145336 163503 172832 194436 199837 218004 259248 290672 327006 388872 399674 436008 518496 581344 599511 654012 777744 799348 872016 1199022 1308024 1555488 1598696 1744032 1798533 2398044 2616048 3197392 3597066 4796088 5232096 6394784 7194132 9592176 14388264 19184352 28776528 57553056