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45930496 = 21141547
BaseRepresentation
bin1010111100110…
…1100000000000
310012102111210111
42233031200000
543224233441
64320241104
71065255103
oct257154000
9105374714
1045930496
1123a21297
1213470194
139692011
14615873a
154074081
hex2bcd800

45930496 has 48 divisors (see below), whose sum is σ = 94250520. Its totient is φ = 22364160.

The previous prime is 45930491. The next prime is 45930527. The reversal of 45930496 is 69403954.

It is a super-2 number, since 2×459304962 = 4219220925612032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45930491) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83695 + ... + 84241.

Almost surely, 245930496 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 45930496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47125260).

45930496 is an abundant number, since it is smaller than the sum of its proper divisors (48320024).

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

45930496 is an equidigital number, since it uses as much as digits as its factorization.

45930496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 45930496 is about 6777.2041433028. The cubic root of 45930496 is about 358.1242351507.

The spelling of 45930496 in words is "forty-five million, nine hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 547 656 1024 1094 1312 2048 2188 2624 4376 5248 8752 10496 17504 20992 22427 35008 41984 44854 70016 83968 89708 140032 179416 280064 358832 560128 717664 1120256 1435328 2870656 5741312 11482624 22965248 45930496