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57248544 = 2531095471
BaseRepresentation
bin1101101001100…
…0101100100000
310222201112020110
43122120230200
5104123423134
65403011320
71263414243
oct332305440
9128645213
1057248544
112a351751
1217209b40
13bb257a2
14786325a
15505c7e9
hex3698b20

57248544 has 48 divisors (see below), whose sum is σ = 151683840. Its totient is φ = 18904320.

The previous prime is 57248483. The next prime is 57248563. The reversal of 57248544 is 44584275.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 7729 + ... + 13199.

It is an arithmetic number, because the mean of its divisors is an integer number (3160080).

Almost surely, 257248544 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 57248544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75841920).

57248544 is an abundant number, since it is smaller than the sum of its proper divisors (94435296).

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

57248544 is a wasteful number, since it uses less digits than its factorization.

57248544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5593 (or 5585 counting only the distinct ones).

The product of its digits is 179200, while the sum is 39.

The square root of 57248544 is about 7566.2767594108. The cubic root of 57248544 is about 385.4086715744.

The spelling of 57248544 in words is "fifty-seven million, two hundred forty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 327 436 654 872 1308 1744 2616 3488 5232 5471 10464 10942 16413 21884 32826 43768 65652 87536 131304 175072 262608 525216 596339 1192678 1789017 2385356 3578034 4770712 7156068 9541424 14312136 19082848 28624272 57248544