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45738396 = 223211196079
BaseRepresentation
bin1010111001111…
…0100110011100
310012001202021200
42232132212130
543202112041
64312155500
71063525044
oct256364634
9105052250
1045738396
11238aaa30
1213398b90
139625752
146108724
1540371b6
hex2b9e99c

45738396 has 72 divisors (see below), whose sum is σ = 132787200. Its totient is φ = 13128480.

The previous prime is 45738391. The next prime is 45738397. The reversal of 45738396 is 69383754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45738391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4485 + ... + 10563.

Almost surely, 245738396 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 45738396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66393600).

45738396 is an abundant number, since it is smaller than the sum of its proper divisors (87048804).

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

45738396 is a wasteful number, since it uses less digits than its factorization.

45738396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6119 (or 6114 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 45738396 is about 6763.0167824722. The cubic root of 45738396 is about 357.6242637771.

The spelling of 45738396 in words is "forty-five million, seven hundred thirty-eight thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 6079 7524 12158 18237 24316 36474 54711 66869 72948 109422 115501 133738 200607 218844 231002 267476 346503 401214 462004 601821 693006 802428 1039509 1203642 1270511 1386012 2079018 2407284 2541022 3811533 4158036 5082044 7623066 11434599 15246132 22869198 45738396