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57245216 = 257376907
BaseRepresentation
bin1101101001011…
…1111000100000
310222201100200012
43122113320200
5104123321331
65402544052
71263401450
oct332277040
9128640605
1057245216
112a34a1a6
1217208028
13bb24112
147861d60
15505b82b
hex3697e20

57245216 has 48 divisors (see below), whose sum is σ = 132302016. Its totient is φ = 23867136.

The previous prime is 57245207. The next prime is 57245231. The reversal of 57245216 is 61254275.

57245216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4835 + ... + 11741.

It is an arithmetic number, because the mean of its divisors is an integer number (2756292).

Almost surely, 257245216 is an apocalyptic number.

57245216 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 57245216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66151008).

57245216 is an abundant number, since it is smaller than the sum of its proper divisors (75056800).

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

57245216 is a wasteful number, since it uses less digits than its factorization.

57245216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6961 (or 6953 counting only the distinct ones).

The product of its digits is 16800, while the sum is 32.

The square root of 57245216 is about 7566.0568329877. The cubic root of 57245216 is about 385.4012031754.

The spelling of 57245216 in words is "fifty-seven million, two hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 518 592 1036 1184 2072 4144 6907 8288 13814 27628 48349 55256 96698 110512 193396 221024 255559 386792 511118 773584 1022236 1547168 1788913 2044472 3577826 4088944 7155652 8177888 14311304 28622608 57245216