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45905916 = 22371723161
BaseRepresentation
bin1010111100011…
…1011111111100
310012101021002010
42233013133330
543222442131
64315531220
71065123330
oct257073774
9105337063
1045905916
1123a04881
1213459b10
139683a84
14614d7c0
15406bb46
hex2bc77fc

45905916 has 144 divisors (see below), whose sum is σ = 136435712. Its totient is φ = 11750400.

The previous prime is 45905903. The next prime is 45905939. The reversal of 45905916 is 61950954.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 752526 + ... + 752586.

Almost surely, 245905916 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 45905916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68217856).

45905916 is an abundant number, since it is smaller than the sum of its proper divisors (90529796).

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

45905916 is a wasteful number, since it uses less digits than its factorization.

45905916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 45905916 is about 6775.3904684527. The cubic root of 45905916 is about 358.0603395896.

The spelling of 45905916 in words is "forty-five million, nine hundred five thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 31 34 42 51 61 62 68 84 93 102 119 122 124 183 186 204 217 238 244 289 357 366 372 427 434 476 527 578 651 714 732 854 867 868 1037 1054 1156 1281 1302 1428 1581 1708 1734 1891 2023 2074 2108 2562 2604 3111 3162 3468 3689 3782 4046 4148 5124 5673 6069 6222 6324 7259 7378 7564 8092 8959 11067 11346 12138 12444 13237 14518 14756 17629 17918 21777 22134 22692 24276 26474 26877 29036 32147 35258 35836 39711 43554 44268 52887 52948 53754 62713 64294 70516 79422 87108 96441 105774 107508 123403 125426 128588 158844 188139 192882 211548 225029 246806 250852 370209 376278 385764 450058 493612 546499 675087 740418 752556 900116 1092998 1350174 1480836 1639497 2185996 2700348 3278994 3825493 6557988 7650986 11476479 15301972 22952958 45905916