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57940092 = 22327435347
BaseRepresentation
bin1101110100000…
…1100001111100
311001000122212100
43131001201330
5104313040332
65425505100
71302324360
oct335014174
9131018770
1057940092
112a784281
12174a2190
13c0084a2
1479a32a0
15514767c
hex374187c

57940092 has 72 divisors (see below), whose sum is σ = 171307136. Its totient is φ = 16166304.

The previous prime is 57940081. The next prime is 57940109. The reversal of 57940092 is 29004975.

57940092 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 (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 8163 + ... + 13509.

Almost surely, 257940092 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 57940092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85653568).

57940092 is an abundant number, since it is smaller than the sum of its proper divisors (113367044).

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

57940092 is a wasteful number, since it uses less digits than its factorization.

57940092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5407 (or 5402 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 57940092 is about 7611.8389368142. The cubic root of 57940092 is about 386.9543443126.

The spelling of 57940092 in words is "fifty-seven million, nine hundred forty thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 387 516 602 774 903 1204 1548 1806 2709 3612 5347 5418 10694 10836 16041 21388 32082 37429 48123 64164 74858 96246 112287 149716 192492 224574 229921 336861 449148 459842 673722 689763 919684 1347444 1379526 1609447 2069289 2759052 3218894 4138578 4828341 6437788 8277156 9656682 14485023 19313364 28970046 57940092