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57140928 = 2632132587
BaseRepresentation
bin1101100111111…
…0011011000000
310222112001121200
43121332123000
5104112002203
65400421200
71262455425
oct331763300
9128461550
1057140928
112a288909
1217177800
13bab8800
147835d4c
15503a9a3
hex367e6c0

57140928 has 126 divisors (see below), whose sum is σ = 177654204. Its totient is φ = 17551872.

The previous prime is 57140911. The next prime is 57140929. The reversal of 57140928 is 82904175.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 57140892 and 57140901.

It is not an unprimeable number, because it can be changed into a prime (57140929) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 97051 + ... + 97637.

It is an arithmetic number, because the mean of its divisors is an integer number (1409954).

Almost surely, 257140928 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 57140928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88827102).

57140928 is an abundant number, since it is smaller than the sum of its proper divisors (120513276).

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

57140928 is a wasteful number, since it uses less digits than its factorization.

57140928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 57140928 is about 7559.1618583015. The cubic root of 57140928 is about 385.1670226004.

The spelling of 57140928 in words is "fifty-seven million, one hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 169 192 208 234 288 312 338 416 468 507 576 587 624 676 832 936 1014 1174 1248 1352 1521 1761 1872 2028 2348 2496 2704 3042 3522 3744 4056 4696 5283 5408 6084 7044 7488 7631 8112 9392 10566 10816 12168 14088 15262 16224 18784 21132 22893 24336 28176 30524 32448 37568 42264 45786 48672 56352 61048 68679 84528 91572 97344 99203 112704 122096 137358 169056 183144 198406 244192 274716 297609 338112 366288 396812 488384 549432 595218 732576 793624 892827 1098864 1190436 1465152 1587248 1785654 2197728 2380872 3174496 3571308 4395456 4761744 6348992 7142616 9523488 14285232 19046976 28570464 57140928