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45938368 = 26741261
BaseRepresentation
bin1010111100111…
…1011011000000
310012102220121001
42233033123000
543230011433
64320341344
71065320050
oct257173300
9105386531
1045938368
1123a271a3
1213474854
139695788
14615b560
15407657d
hex2bcf6c0

45938368 has 84 divisors (see below), whose sum is σ = 108535216. Its totient is φ = 18892800.

The previous prime is 45938359. The next prime is 45938393. The reversal of 45938368 is 86383954.

45938368 is nontrivially palindromic in base 3.

It is a super-2 number, since 2×459383682 = 4220667309006848, which contains 22 as substring.

Its product of digits (622080) is a multiple of the sum of its prime factors (162).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 753058 + ... + 753118.

Almost surely, 245938368 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 45938368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54267608).

45938368 is an abundant number, since it is smaller than the sum of its proper divisors (62596848).

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

45938368 is an equidigital number, since it uses as much as digits as its factorization.

45938368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 111 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The square root of 45938368 is about 6777.7848888852. The cubic root of 45938368 is about 358.1446935475.

The spelling of 45938368 in words is "forty-five million, nine hundred thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 61 64 82 112 122 164 224 244 287 328 427 448 488 574 656 854 976 1148 1312 1681 1708 1952 2296 2501 2624 3362 3416 3904 4592 5002 6724 6832 9184 10004 11767 13448 13664 17507 18368 20008 23534 26896 27328 35014 40016 47068 53792 70028 80032 94136 102541 107584 140056 160064 188272 205082 280112 376544 410164 560224 717787 753088 820328 1120448 1435574 1640656 2871148 3281312 5742296 6562624 11484592 22969184 45938368