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45875538 = 2331961733
BaseRepresentation
bin1010111100000…
…0000101010010
310012022201102000
42233000011102
543221004123
64315134430
71064635632
oct257000522
9105281360
1045875538
1123993a75
1213444416
139672cb7
1461426c2
154062b43
hex2bc0152

45875538 has 64 divisors (see below), whose sum is σ = 109219200. Its totient is φ = 14230080.

The previous prime is 45875507. The next prime is 45875549. The reversal of 45875538 is 83557854.

45875538 is a `hidden beast` number, since 45 + 8 + 75 + 538 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45875493 and 45875502.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62220 + ... + 62952.

It is an arithmetic number, because the mean of its divisors is an integer number (1706550).

Almost surely, 245875538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45875538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54609600).

45875538 is an abundant number, since it is smaller than the sum of its proper divisors (63343662).

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

45875538 is a wasteful number, since it uses less digits than its factorization.

45875538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 818 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 45875538 is about 6773.1483078403. The cubic root of 45875538 is about 357.9813406419.

The spelling of 45875538 in words is "forty-five million, eight hundred seventy-five thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 61 114 122 171 183 342 366 513 549 733 1026 1098 1159 1466 1647 2199 2318 3294 3477 4398 6597 6954 10431 13194 13927 19791 20862 27854 31293 39582 41781 44713 62586 83562 89426 125343 134139 250686 268278 376029 402417 752058 804834 849547 1207251 1699094 2414502 2548641 5097282 7645923 15291846 22937769 45875538