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45716816 = 2431611511
BaseRepresentation
bin1010111001100…
…1010101010000
310012000122200102
42232121111100
543200414231
64311511532
71063405115
oct256312520
9105018612
1045716816
11238957a2
12133885a8
139618992
14610090c
154030acb
hex2b99550

45716816 has 40 divisors (see below), whose sum is σ = 92994048. Its totient is φ = 21744000.

The previous prime is 45716809. The next prime is 45716833. The reversal of 45716816 is 61861754.

It is a self number, because there is not a number n which added to its sum of digits gives 45716816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29501 + ... + 31011.

Almost surely, 245716816 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 45716816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46497024).

45716816 is an abundant number, since it is smaller than the sum of its proper divisors (47277232).

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

45716816 is a wasteful number, since it uses less digits than its factorization.

45716816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1605 counting only the distinct ones).

The product of its digits is 40320, while the sum is 38.

The square root of 45716816 is about 6761.4211523910. The cubic root of 45716816 is about 357.5680109250.

The spelling of 45716816 in words is "forty-five million, seven hundred sixteen thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 31 61 62 122 124 244 248 488 496 976 1511 1891 3022 3782 6044 7564 12088 15128 24176 30256 46841 92171 93682 184342 187364 368684 374728 737368 749456 1474736 2857301 5714602 11429204 22858408 45716816