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45163976 = 23112133797
BaseRepresentation
bin1010110001001…
…0010111001000
310010222120022212
42230102113020
543030221401
64252004252
71055613254
oct254222710
9103876285
1045163976
1123548400
1213160688
139484160
145dd9264
153e71dbb
hex2b125c8

45163976 has 96 divisors (see below), whose sum is σ = 104011320. Its totient is φ = 18247680.

The previous prime is 45163961. The next prime is 45163997. The reversal of 45163976 is 67936154.

It can be written as a sum of positive squares in 4 ways, for example, as 38763076 + 6400900 = 6226^2 + 2530^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465560 + ... + 465656.

Almost surely, 245163976 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 45163976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52005660).

45163976 is an abundant number, since it is smaller than the sum of its proper divisors (58847344).

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

45163976 is a wasteful number, since it uses less digits than its factorization.

45163976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 160 counting only the distinct ones).

The product of its digits is 136080, while the sum is 41.

The square root of 45163976 is about 6720.4148681462. The cubic root of 45163976 is about 356.1208401794.

The spelling of 45163976 in words is "forty-five million, one hundred sixty-three thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 13 22 26 37 44 52 74 88 97 104 121 143 148 194 242 286 296 388 407 481 484 572 776 814 962 968 1067 1144 1261 1573 1628 1924 2134 2522 3146 3256 3589 3848 4268 4477 5044 5291 6292 7178 8536 8954 10088 10582 11737 12584 13871 14356 17908 21164 23474 27742 28712 35816 39479 42328 46657 46948 55484 58201 78958 93314 93896 110968 116402 152581 157916 186628 232804 305162 315832 373256 434269 465608 513227 610324 868538 1026454 1220648 1737076 2052908 3474152 4105816 5645497 11290994 22581988 45163976