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45644382 = 232737393
BaseRepresentation
bin1010111000011…
…1101001011110
310011212222022200
42232013221132
543141110012
64310152330
71062654000
oct256075136
9104788280
1045644382
1123846333
12133526a6
1395c1a14
1460c2370
1540193dc
hex2b87a5e

45644382 has 48 divisors (see below), whose sum is σ = 115346400. Its totient is φ = 13039488.

The previous prime is 45644363. The next prime is 45644393. The reversal of 45644382 is 28344654.

45644382 is a `hidden beast` number, since 4 + 5 + 644 + 3 + 8 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2478 + ... + 9870.

It is an arithmetic number, because the mean of its divisors is an integer number (2403050).

Almost surely, 245644382 is an apocalyptic number.

45644382 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 45644382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57673200).

45644382 is an abundant number, since it is smaller than the sum of its proper divisors (69702018).

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

45644382 is a wasteful number, since it uses less digits than its factorization.

45644382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7422 (or 7405 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 45644382 is about 6756.0626107223. The cubic root of 45644382 is about 357.3790667948.

The spelling of 45644382 in words is "forty-five million, six hundred forty-four thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 882 1029 2058 3087 6174 7393 14786 22179 44358 51751 66537 103502 133074 155253 310506 362257 465759 724514 931518 1086771 2173542 2535799 3260313 5071598 6520626 7607397 15214794 22822191 45644382