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57148056 = 23327149761
BaseRepresentation
bin1101101000000…
…0001010011000
310222112102101200
43122000022120
5104112214211
65400514200
71262515260
oct332001230
9128472350
1057148056
112a2931a9
121717b960
13babbb24
1478387a0
15503cb56
hex3680298

57148056 has 96 divisors (see below), whose sum is σ = 178308000. Its totient is φ = 16197120.

The previous prime is 57148051. The next prime is 57148079. The reversal of 57148056 is 65084175.

57148056 is a `hidden beast` number, since 571 + 4 + 80 + 5 + 6 = 666.

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 57148056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57148051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74716 + ... + 75476.

It is an arithmetic number, because the mean of its divisors is an integer number (1857375).

Almost surely, 257148056 is an apocalyptic number.

57148056 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 57148056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89154000).

57148056 is an abundant number, since it is smaller than the sum of its proper divisors (121159944).

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

57148056 is a wasteful number, since it uses less digits than its factorization.

57148056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 57148056 is about 7559.6333244411. The cubic root of 57148056 is about 385.1830377200.

It can be divided in two parts, 571480 and 56, that added together give a square (571536 = 7562).

The spelling of 57148056 in words is "fifty-seven million, one hundred forty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 149 168 252 298 447 504 596 761 894 1043 1192 1341 1522 1788 2086 2283 2682 3044 3129 3576 4172 4566 5327 5364 6088 6258 6849 8344 9132 9387 10654 10728 12516 13698 15981 18264 18774 21308 25032 27396 31962 37548 42616 47943 54792 63924 75096 95886 113389 127848 191772 226778 340167 383544 453556 680334 793723 907112 1020501 1360668 1587446 2041002 2381169 2721336 3174892 4082004 4762338 6349784 7143507 8164008 9524676 14287014 19049352 28574028 57148056