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45314646 = 23132232967
BaseRepresentation
bin1010110011011…
…1001001010110
310011021020000020
42230313021112
543100032041
64255130010
71060111446
oct254671126
9104236006
1045314646
1123640623
1213213906
139507900
146038126
153ea1866
hex2b37256

45314646 has 96 divisors (see below), whose sum is σ = 107516160. Its totient is φ = 12684672.

The previous prime is 45314609. The next prime is 45314657. The reversal of 45314646 is 64641354.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 676305 + ... + 676371.

It is an arithmetic number, because the mean of its divisors is an integer number (1119960).

Almost surely, 245314646 is an apocalyptic number.

45314646 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 45314646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53758080).

45314646 is an abundant number, since it is smaller than the sum of its proper divisors (62201514).

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

45314646 is a wasteful number, since it uses less digits than its factorization.

45314646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 137 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 45314646 is about 6731.6154079092. The cubic root of 45314646 is about 356.5164148137.

The spelling of 45314646 in words is "forty-five million, three hundred fourteen thousand, six hundred forty-six".

Divisors: 1 2 3 6 13 23 26 29 39 46 58 67 69 78 87 134 138 169 174 201 299 338 377 402 507 598 667 754 871 897 1014 1131 1334 1541 1742 1794 1943 2001 2262 2613 3082 3886 3887 4002 4623 4901 5226 5829 7774 8671 9246 9802 11323 11658 11661 14703 17342 20033 22646 23322 25259 26013 29406 33969 40066 44689 50518 52026 60099 67938 75777 89378 112723 120198 134067 151554 225446 260429 268134 328367 338169 520858 580957 656734 676338 781287 985101 1161914 1562574 1742871 1970202 3485742 7552441 15104882 22657323 45314646