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45432738 = 237131747
BaseRepresentation
bin1010110101001…
…1111110100010
310011111020000000
42231103332202
543112321423
64301440430
71061112651
oct255237642
9104436000
1045432738
112371131a
1213270116
1395495a0
146069198
153ec6843
hex2b53fa2

45432738 has 128 divisors (see below), whose sum is σ = 119024640. Its totient is φ = 12877056.

The previous prime is 45432733. The next prime is 45432787. The reversal of 45432738 is 83723454.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (45432733) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 966631 + ... + 966677.

It is an arithmetic number, because the mean of its divisors is an integer number (929880).

Almost surely, 245432738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45432738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59512320).

45432738 is an abundant number, since it is smaller than the sum of its proper divisors (73591902).

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

45432738 is a wasteful number, since it uses less digits than its factorization.

45432738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 82 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 45432738 is about 6740.3811464931. The cubic root of 45432738 is about 356.8258454285.

The spelling of 45432738 in words is "forty-five million, four hundred thirty-two thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 47 51 54 78 81 94 102 117 141 153 162 221 234 243 282 306 351 423 442 459 486 611 663 702 729 799 846 918 1053 1222 1269 1326 1377 1458 1598 1833 1989 2106 2187 2397 2538 2754 3159 3666 3807 3978 4131 4374 4794 5499 5967 6318 7191 7614 8262 9477 10387 10998 11421 11934 12393 14382 16497 17901 18954 20774 21573 22842 24786 28431 31161 32994 34263 35802 37179 43146 49491 53703 56862 62322 64719 68526 74358 93483 98982 102789 107406 129438 148473 161109 186966 194157 205578 280449 296946 322218 388314 445419 483327 560898 582471 841347 890838 966654 1164942 1336257 1682694 1747413 2524041 2672514 3494826 5048082 7572123 15144246 22716369 45432738