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57531292 = 22721367337
BaseRepresentation
bin1101101101110…
…1101110011100
311000020220002121
43123131232130
5104212000132
65413032324
71266002500
oct333355634
9130226077
1057531292
112a525125
12173256a4
13bbc43b0
1478d8300
1550b6497
hex36ddb9c

57531292 has 72 divisors (see below), whose sum is σ = 128388624. Its totient is φ = 22353408.

The previous prime is 57531277. The next prime is 57531307. The reversal of 57531292 is 29213575.

It is an interprime number because it is at equal distance from previous prime (57531277) and next prime (57531307).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170548 + ... + 170884.

Almost surely, 257531292 is an apocalyptic number.

57531292 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57531292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64194312).

57531292 is an abundant number, since it is smaller than the sum of its proper divisors (70857332).

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

57531292 is a wasteful number, since it uses less digits than its factorization.

57531292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 426 counting only the distinct ones).

The product of its digits is 18900, while the sum is 34.

The square root of 57531292 is about 7584.9384967843. The cubic root of 57531292 is about 386.0421352341.

The spelling of 57531292 in words is "fifty-seven million, five hundred thirty-one thousand, two hundred ninety-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 67 91 98 134 182 196 268 337 364 469 637 674 871 938 1274 1348 1742 1876 2359 2548 3283 3484 4381 4718 6097 6566 8762 9436 12194 13132 16513 17524 22579 24388 30667 33026 42679 45158 61334 66052 85358 90316 122668 158053 170716 214669 293527 316106 429338 587054 632212 858676 1106371 1174108 2054689 2212742 4109378 4425484 8218756 14382823 28765646 57531292