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57275640 = 23335181293
BaseRepresentation
bin1101101001111…
…1010011111000
310222202220102000
43122133103320
5104130310030
65403341000
71263556242
oct332372370
9128686360
1057275640
112a370044
1217221760
13bb34c16
14786d092
155065860
hex369f4f8

57275640 has 128 divisors (see below), whose sum is σ = 192628800. Its totient is φ = 15137280.

The previous prime is 57275627. The next prime is 57275653. The reversal of 57275640 is 4657275.

57275640 is a `hidden beast` number, since 5 + 7 + 2 + 7 + 5 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (57275627) and next prime (57275653).

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 = 57275595 and 57275604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195334 + ... + 195626.

Almost surely, 257275640 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 57275640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96314400).

57275640 is an abundant number, since it is smaller than the sum of its proper divisors (135353160).

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

57275640 is a wasteful number, since it uses less digits than its factorization.

57275640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 57275640 is about 7568.0671244380. The cubic root of 57275640 is about 385.4694672180.

The spelling of 57275640 in words is "fifty-seven million, two hundred seventy-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 181 216 270 293 360 362 540 543 586 724 879 905 1080 1086 1172 1448 1465 1629 1758 1810 2172 2344 2637 2715 2930 3258 3516 3620 4344 4395 4887 5274 5430 5860 6516 7032 7240 7911 8145 8790 9774 10548 10860 11720 13032 13185 15822 16290 17580 19548 21096 21720 24435 26370 31644 32580 35160 39096 39555 48870 52740 53033 63288 65160 79110 97740 105480 106066 158220 159099 195480 212132 265165 316440 318198 424264 477297 530330 636396 795495 954594 1060660 1272792 1431891 1590990 1909188 2121320 2386485 2863782 3181980 3818376 4772970 5727564 6363960 7159455 9545940 11455128 14318910 19091880 28637820 57275640