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45162864 = 2432476673
BaseRepresentation
bin1010110001001…
…0000101110000
310010222111210200
42230102011300
543030202424
64251555200
71055610105
oct254220560
9103874720
1045162864
112354758a
121315bb00
1394837b6
145dd8aac
153e718c9
hex2b12170

45162864 has 60 divisors (see below), whose sum is σ = 129101856. Its totient is φ = 14731776.

The previous prime is 45162847. The next prime is 45162913. The reversal of 45162864 is 46826154.

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 11 ways as a sum of consecutive naturals, for example, 3432 + ... + 10104.

Almost surely, 245162864 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 45162864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64550928).

45162864 is an abundant number, since it is smaller than the sum of its proper divisors (83938992).

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

45162864 is a wasteful number, since it uses less digits than its factorization.

45162864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6734 (or 6725 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 45162864 is about 6720.3321346493. The cubic root of 45162864 is about 356.1179174250.

The spelling of 45162864 in words is "forty-five million, one hundred sixty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 6673 6768 13346 20019 26692 40038 53384 60057 80076 106768 120114 160152 240228 313631 320304 480456 627262 940893 960912 1254524 1881786 2509048 2822679 3763572 5018096 5645358 7527144 11290716 15054288 22581432 45162864