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57502260 = 22325615237
BaseRepresentation
bin1101101101011…
…0101000110100
311000012102021100
43123112220310
5104210033020
65412250100
71265522034
oct333265064
9130172240
1057502260
112a505332
1217310930
13bbb410a
1478cb8c4
1550aca90
hex36d6a34

57502260 has 72 divisors (see below), whose sum is σ = 177316776. Its totient is φ = 15079680.

The previous prime is 57502253. The next prime is 57502337. The reversal of 57502260 is 6220575.

It can be written as a sum of positive squares in 4 ways, for example, as 2683044 + 54819216 = 1638^2 + 7404^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8362 + ... + 13598.

It is an arithmetic number, because the mean of its divisors is an integer number (2462733).

Almost surely, 257502260 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 57502260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88658388).

57502260 is an abundant number, since it is smaller than the sum of its proper divisors (119814516).

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

57502260 is a wasteful number, since it uses less digits than its factorization.

57502260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5313 (or 5308 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 57502260 is about 7583.0244625743. The cubic root of 57502260 is about 385.9771881961.

The spelling of 57502260 in words is "fifty-seven million, five hundred two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5237 5490 10474 10980 15711 20948 26185 31422 47133 52370 62844 78555 94266 104740 157110 188532 235665 314220 319457 471330 638914 942660 958371 1277828 1597285 1916742 2875113 3194570 3833484 4791855 5750226 6389140 9583710 11500452 14375565 19167420 28751130 57502260