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45714416 = 24112111231
BaseRepresentation
bin1010111001100…
…0101111110000
310012000112101112
42232120233300
543200330131
64311452452
71063365116
oct256305760
9105015345
1045714416
1123893a10
1213387128
139617867
1460ddab6
15403002b
hex2b98bf0

45714416 has 40 divisors (see below), whose sum is σ = 97160448. Its totient is φ = 20664000.

The previous prime is 45714407. The next prime is 45714419. The reversal of 45714416 is 61441754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45714419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36521 + ... + 37751.

Almost surely, 245714416 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 45714416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48580224).

45714416 is an abundant number, since it is smaller than the sum of its proper divisors (51446032).

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

45714416 is a wasteful number, since it uses less digits than its factorization.

45714416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1455 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 45714416 is about 6761.2436725798. The cubic root of 45714416 is about 357.5617537216.

The spelling of 45714416 in words is "forty-five million, seven hundred fourteen thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 176 211 422 844 1231 1688 2321 2462 3376 4642 4924 9284 9848 13541 18568 19696 27082 37136 54164 108328 216656 259741 519482 1038964 2077928 2857151 4155856 5714302 11428604 22857208 45714416