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57938349 = 3731611459
BaseRepresentation
bin1101110100000…
…1000110101101
311001000120110210
43131001012231
5104313011344
65425453033
71302316320
oct335010655
9131016423
1057938349
112a782a37
12174a1179
13c007761
1479a27b7
155146db9
hex37411ad

57938349 has 32 divisors (see below), whose sum is σ = 92692480. Its totient is φ = 31492800.

The previous prime is 57938323. The next prime is 57938359. The reversal of 57938349 is 94383975.

57938349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57938349 - 28 = 57938093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 57938298 and 57938307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57938359) 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 31 ways as a sum of consecutive naturals, for example, 38982 + ... + 40440.

It is an arithmetic number, because the mean of its divisors is an integer number (2896640).

Almost surely, 257938349 is an apocalyptic number.

It is an amenable number.

57938349 is a deficient number, since it is larger than the sum of its proper divisors (34754131).

57938349 is a wasteful number, since it uses less digits than its factorization.

57938349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561.

The product of its digits is 816480, while the sum is 48.

The square root of 57938349 is about 7611.7244432520. The cubic root of 57938349 is about 386.9504640507.

The spelling of 57938349 in words is "fifty-seven million, nine hundred thirty-eight thousand, three hundred forty-nine".

Divisors: 1 3 7 21 31 61 93 183 217 427 651 1281 1459 1891 4377 5673 10213 13237 30639 39711 45229 88999 135687 266997 316603 622993 949809 1868979 2758969 8276907 19312783 57938349