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45942704 = 2417672521
BaseRepresentation
bin1010111101000…
…0011110110000
310012110010112122
42233100132300
543230131304
64320413412
71065335513
oct257203660
9105403478
1045942704
1123a2a485
1213477268
139697742
14615cd7a
1540779be
hex2bd07b0

45942704 has 40 divisors (see below), whose sum is σ = 95694768. Its totient is φ = 21288960.

The previous prime is 45942671. The next prime is 45942719. The reversal of 45942704 is 40724954.

45942704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×459427042 = 4221464101663232, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16964 + ... + 19484.

Almost surely, 245942704 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 45942704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47847384).

45942704 is an abundant number, since it is smaller than the sum of its proper divisors (49752064).

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

45942704 is a wasteful number, since it uses less digits than its factorization.

45942704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 45942704 is about 6778.1047498545. The cubic root of 45942704 is about 358.1559613004.

The spelling of 45942704 in words is "forty-five million, nine hundred forty-two thousand, seven hundred four".

Divisors: 1 2 4 8 16 17 34 67 68 134 136 268 272 536 1072 1139 2278 2521 4556 5042 9112 10084 18224 20168 40336 42857 85714 168907 171428 337814 342856 675628 685712 1351256 2702512 2871419 5742838 11485676 22971352 45942704