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57938556 = 22313715231
BaseRepresentation
bin1101110100000…
…1001001111100
311001000120202110
43131001021330
5104313013211
65425454020
71302320034
oct335011174
9131016673
1057938556
112a783105
12174a1310
13c007890
1479a28c4
155146ea6
hex374127c

57938556 has 48 divisors (see below), whose sum is σ = 147667968. Its totient is φ = 17572800.

The previous prime is 57938539. The next prime is 57938557. The reversal of 57938556 is 65583975.

57938556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57938557) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8461 + ... + 13691.

It is an arithmetic number, because the mean of its divisors is an integer number (3076416).

Almost surely, 257938556 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 57938556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73833984).

57938556 is an abundant number, since it is smaller than the sum of its proper divisors (89729412).

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

57938556 is a wasteful number, since it uses less digits than its factorization.

57938556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5322 (or 5320 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 48.

The square root of 57938556 is about 7611.7380406843. The cubic root of 57938556 is about 386.9509248777.

The spelling of 57938556 in words is "fifty-seven million, nine hundred thirty-eight thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 78 142 156 213 284 426 852 923 1846 2769 3692 5231 5538 10462 11076 15693 20924 31386 62772 68003 136006 204009 272012 371401 408018 742802 816036 1114203 1485604 2228406 4456812 4828213 9656426 14484639 19312852 28969278 57938556