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42370692 = 223721323241
BaseRepresentation
bin1010000110100…
…0011010000100
32221201122122220
42201220122010
541321330232
64112052340
71023100500
oct241503204
987648586
1042370692
1121a0a801
12122340b0
138a16920
1458ad300
153abe42c
hex2868684

42370692 has 144 divisors (see below), whose sum is σ = 129773952. Its totient is φ = 10644480.

The previous prime is 42370649. The next prime is 42370693. The reversal of 42370692 is 29607324.

It is not an unprimeable number, because it can be changed into a prime (42370693) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175692 + ... + 175932.

It is an arithmetic number, because the mean of its divisors is an integer number (901208).

Almost surely, 242370692 is an apocalyptic number.

42370692 is a gapful number since it is divisible by the number (42) 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 42370692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64886976).

42370692 is an abundant number, since it is smaller than the sum of its proper divisors (87403260).

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

42370692 is a wasteful number, since it uses less digits than its factorization.

42370692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 42370692 is about 6509.2773792488. The cubic root of 42370692 is about 348.6223175660.

The spelling of 42370692 in words is "forty-two million, three hundred seventy thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 23 26 28 39 42 46 49 52 69 78 84 91 92 98 138 147 156 161 182 196 241 273 276 294 299 322 364 482 483 546 588 598 637 644 723 897 964 966 1092 1127 1196 1274 1446 1687 1794 1911 1932 2093 2254 2548 2892 3133 3374 3381 3588 3822 4186 4508 5061 5543 6266 6279 6748 6762 7644 8372 9399 10122 11086 11809 12532 12558 13524 14651 16629 18798 20244 21931 22172 23618 25116 29302 33258 35427 37596 38801 43862 43953 47236 58604 65793 66516 70854 72059 77602 87724 87906 116403 131586 141708 144118 153517 155204 175812 216177 232806 263172 271607 288236 307034 432354 460551 465612 504413 543214 614068 814821 864708 921102 1008826 1086428 1513239 1629642 1842204 2017652 3026478 3259284 3530891 6052956 7061782 10592673 14123564 21185346 42370692