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45158916 = 223112947251
BaseRepresentation
bin1010110001000…
…1001000000100
310010222022101110
42230101020010
543030041131
64251525020
71055562435
oct254211004
9103868343
1045158916
1123544620
1213159770
139481a6a
145dd748c
153e70646
hex2b11204

45158916 has 96 divisors (see below), whose sum is σ = 121927680. Its totient is φ = 12880000.

The previous prime is 45158903. The next prime is 45158921. The reversal of 45158916 is 61985154.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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, 179791 + ... + 180041.

It is an arithmetic number, because the mean of its divisors is an integer number (1270080).

Almost surely, 245158916 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 45158916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60963840).

45158916 is an abundant number, since it is smaller than the sum of its proper divisors (76768764).

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

45158916 is a wasteful number, since it uses less digits than its factorization.

45158916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 343 counting only the distinct ones).

The product of its digits is 43200, while the sum is 39.

The square root of 45158916 is about 6720.0383927475. The cubic root of 45158916 is about 356.1075402081.

It can be divided in two parts, 4515 and 8916, that added together give a palindrome (13431).

The spelling of 45158916 in words is "forty-five million, one hundred fifty-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 47 58 66 87 94 116 132 141 174 188 251 282 319 348 502 517 564 638 753 957 1004 1034 1276 1363 1506 1551 1914 2068 2726 2761 3012 3102 3828 4089 5452 5522 6204 7279 8178 8283 11044 11797 14558 14993 16356 16566 21837 23594 29116 29986 33132 35391 43674 44979 47188 59972 70782 80069 87348 89958 129767 141564 160138 179916 240207 259534 320276 342113 389301 480414 519068 684226 778602 960828 1026339 1368452 1557204 2052678 3763243 4105356 7526486 11289729 15052972 22579458 45158916