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5257692 = 22321121771
BaseRepresentation
bin10100000011100111011100
3100220010012100
4110003213130
52321221232
6304405100
762455356
oct24034734
910803170
105257692
112a71200
121916790
13112117b
149ac0d6
156dcc7c
hex5039dc

5257692 has 108 divisors (see below), whose sum is σ = 15685488. Its totient is φ = 1478400.

The previous prime is 5257627. The next prime is 5257711. The reversal of 5257692 is 2967525.

5257692 is nontrivially palindromic in base 5.

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

Its product of digits (37800) is a multiple of the sum of its prime factors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 74017 + ... + 74087.

It is an arithmetic number, because the mean of its divisors is an integer number (145236).

Almost surely, 25257692 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 5257692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7842744).

5257692 is an abundant number, since it is smaller than the sum of its proper divisors (10427796).

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

5257692 is a wasteful number, since it uses less digits than its factorization.

5257692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 104 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 5257692 is about 2292.9657651173. The cubic root of 5257692 is about 173.8861720838.

The spelling of 5257692 in words is "five million, two hundred fifty-seven thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 71 99 102 121 132 142 153 187 198 204 213 242 284 306 363 374 396 426 484 561 612 639 726 748 781 852 1089 1122 1207 1278 1452 1562 1683 2057 2178 2244 2343 2414 2556 3124 3366 3621 4114 4356 4686 4828 6171 6732 7029 7242 8228 8591 9372 10863 12342 13277 14058 14484 17182 18513 21726 24684 25773 26554 28116 34364 37026 39831 43452 51546 53108 74052 77319 79662 103092 119493 146047 154638 159324 238986 292094 309276 438141 477972 584188 876282 1314423 1752564 2628846 5257692