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57123234 = 232719107223
BaseRepresentation
bin1101100111101…
…0000110100010
310222111011100100
43121322012202
5104110420414
65400203230
71262353020
oct331720642
9128434310
1057123234
112a276593
1217169516
13bab073c
14782d710
155035609
hex367a1a2

57123234 has 96 divisors (see below), whose sum is σ = 150958080. Its totient is φ = 15248736.

The previous prime is 57123223. The next prime is 57123239. The reversal of 57123234 is 43232175.

57123234 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 57123198 and 57123207.

It is not an unprimeable number, because it can be changed into a prime (57123239) 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 47 ways as a sum of consecutive naturals, for example, 256047 + ... + 256269.

It is an arithmetic number, because the mean of its divisors is an integer number (1572480).

Almost surely, 257123234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57123234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75479040).

57123234 is an abundant number, since it is smaller than the sum of its proper divisors (93834846).

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

57123234 is a wasteful number, since it uses less digits than its factorization.

57123234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 361 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 57123234 is about 7557.9913998363. The cubic root of 57123234 is about 385.1272621397.

The spelling of 57123234 in words is "fifty-seven million, one hundred twenty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 107 114 126 133 171 214 223 266 321 342 399 446 642 669 749 798 963 1197 1338 1498 1561 1926 2007 2033 2247 2394 3122 4014 4066 4237 4494 4683 6099 6741 8474 9366 12198 12711 13482 14049 14231 18297 23861 25422 28098 28462 29659 36594 38133 42693 47722 59318 71583 76266 85386 88977 128079 143166 167027 177954 214749 256158 266931 334054 429498 453359 501081 533862 906718 1002162 1360077 1503243 2720154 3006486 3173513 4080231 6347026 8160462 9520539 19041078 28561617 57123234