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42500136 = 23371723647
BaseRepresentation
bin1010001000100…
…0000000101000
32221222020020010
42202020000220
541340001021
64114531520
71024150050
oct242100050
987866203
1042500136
1121a98a88
1212296ba0
138a60813
145904560
153ae7976
hex2888028

42500136 has 128 divisors (see below), whose sum is σ = 134369280. Its totient is φ = 10914816.

The previous prime is 42500123. The next prime is 42500137. The reversal of 42500136 is 63100524.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (42500137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65365 + ... + 66011.

It is an arithmetic number, because the mean of its divisors is an integer number (1049760).

Almost surely, 242500136 is an apocalyptic number.

42500136 is a gapful number since it is divisible by the number (46) 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 42500136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67184640).

42500136 is an abundant number, since it is smaller than the sum of its proper divisors (91869144).

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

42500136 is a wasteful number, since it uses less digits than its factorization.

42500136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 42500136 is about 6519.2128359182. The cubic root of 42500136 is about 348.9769745868.

The spelling of 42500136 in words is "forty-two million, five hundred thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 23 24 28 34 42 46 51 56 68 69 84 92 102 119 136 138 161 168 184 204 238 276 322 357 391 408 476 483 552 644 647 714 782 952 966 1173 1288 1294 1428 1564 1932 1941 2346 2588 2737 2856 3128 3864 3882 4529 4692 5176 5474 7764 8211 9058 9384 10948 10999 13587 14881 15528 16422 18116 21896 21998 27174 29762 32844 32997 36232 43996 44643 54348 59524 65688 65994 76993 87992 89286 104167 108696 119048 131988 153986 178572 208334 230979 252977 263976 307972 312501 357144 416668 461958 505954 615944 625002 758931 833336 923916 1011908 1250004 1517862 1770839 1847832 2023816 2500008 3035724 3541678 5312517 6071448 7083356 10625034 14166712 21250068 42500136