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45105372 = 223213313109
BaseRepresentation
bin1010110000010…
…0000011011100
310010212120221100
42230010003130
543021332442
64250433100
71055250354
oct254040334
9103776840
1045105372
1123508374
1213132790
139463590
145dc1b64
153e5e84c
hex2b040dc

45105372 has 72 divisors (see below), whose sum is σ = 126788480. Its totient is φ = 13426560.

The previous prime is 45105367. The next prime is 45105391. The reversal of 45105372 is 27350154.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12954 + ... + 16062.

Almost surely, 245105372 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 45105372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63394240).

45105372 is an abundant number, since it is smaller than the sum of its proper divisors (81683108).

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

45105372 is a wasteful number, since it uses less digits than its factorization.

45105372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3163 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 45105372 is about 6716.0533053275. The cubic root of 45105372 is about 355.9667414118.

The spelling of 45105372 in words is "forty-five million, one hundred five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1612 2418 3109 3627 4836 6218 7254 9327 12436 14508 18654 27981 37308 40417 55962 80834 96379 111924 121251 161668 192758 242502 289137 363753 385516 485004 578274 727506 867411 1156548 1252927 1455012 1734822 2505854 3469644 3758781 5011708 7517562 11276343 15035124 22552686 45105372