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45158364 = 22331959373
BaseRepresentation
bin1010110001000…
…0111111011100
310010222021122000
42230100333130
543030031424
64251522300
71055561016
oct254207734
9103867560
1045158364
1123544169
1213159390
139481734
145dd71b6
153e703c9
hex2b10fdc

45158364 has 96 divisors (see below), whose sum is σ = 125664000. Its totient is φ = 13981248.

The previous prime is 45158359. The next prime is 45158371. The reversal of 45158364 is 46385154.

It is a happy number.

45158364 is a `hidden beast` number, since 4 + 515 + 83 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120882 + ... + 121254.

It is an arithmetic number, because the mean of its divisors is an integer number (1309000).

Almost surely, 245158364 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 45158364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62832000).

45158364 is an abundant number, since it is smaller than the sum of its proper divisors (80505636).

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

45158364 is a wasteful number, since it uses less digits than its factorization.

45158364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 456 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 45158364 is about 6719.9973214280. The cubic root of 45158364 is about 356.1060892421.

Adding to 45158364 its sum of digits (36), we get a square (45158400 = 67202).

The spelling of 45158364 in words is "forty-five million, one hundred fifty-eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 59 76 108 114 118 171 177 228 236 342 354 373 513 531 684 708 746 1026 1062 1119 1121 1492 1593 2052 2124 2238 2242 3186 3357 3363 4476 4484 6372 6714 6726 7087 10071 10089 13428 13452 14174 20142 20178 21261 22007 28348 30267 40284 40356 42522 44014 60534 63783 66021 85044 88028 121068 127566 132042 191349 198063 255132 264084 382698 396126 418133 594189 765396 792252 836266 1188378 1254399 1672532 2376756 2508798 3763197 5017596 7526394 11289591 15052788 22579182 45158364