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57797145 = 3457192937
BaseRepresentation
bin1101110001111…
…0101000011001
311000202101210000
43130132220121
5104244002040
65422443213
71301160540
oct334365031
9130671700
1057797145
112a69693a
1217433509
13bc883c3
147967157
15511a130
hex371ea19

57797145 has 160 divisors (see below), whose sum is σ = 132422400. Its totient is φ = 23514624.

The previous prime is 57797119. The next prime is 57797153. The reversal of 57797145 is 54179775.

57797145 = T1749 + T1750 + ... + T1785.

57797145 is a `hidden beast` number, since 577 + 9 + 71 + 4 + 5 = 666.

It is not a de Polignac number, because 57797145 - 29 = 57796633 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (308700) is a multiple of the sum of its prime divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 57797145.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1562067 + ... + 1562103.

It is an arithmetic number, because the mean of its divisors is an integer number (827640).

Almost surely, 257797145 is an apocalyptic number.

It is an amenable number.

57797145 is an abundant number, since it is smaller than the sum of its proper divisors (74625255).

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

57797145 is a wasteful number, since it uses less digits than its factorization.

57797145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 100 counting only the distinct ones).

The product of its digits is 308700, while the sum is 45.

The square root of 57797145 is about 7602.4433572372. The cubic root of 57797145 is about 386.6358572195.

The spelling of 57797145 in words is "fifty-seven million, seven hundred ninety-seven thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 19 21 27 29 35 37 45 57 63 81 87 95 105 111 133 135 145 171 185 189 203 259 261 285 315 333 399 405 435 513 551 555 567 609 665 703 777 783 855 945 999 1015 1073 1197 1295 1305 1539 1653 1665 1827 1995 2109 2331 2349 2565 2755 2835 2997 3045 3219 3515 3591 3857 3885 3915 4921 4959 4995 5365 5481 5985 6327 6993 7511 7695 8265 9135 9657 10545 10773 11571 11655 11745 14763 14877 14985 16095 16443 17955 18981 19285 20387 20979 22533 24605 24795 27405 28971 31635 34713 34965 37555 44289 44631 48285 53865 56943 57855 61161 67599 73815 74385 82215 86913 94905 101935 104139 104895 112665 132867 142709 144855 173565 183483 202797 221445 223155 284715 305805 312417 337995 398601 428127 434565 520695 550449 608391 664335 713545 917415 1013985 1284381 1562085 1651347 1993005 2140635 2752245 3041955 3853143 6421905 8256735 11559429 19265715 57797145