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45428526 = 23411133753
BaseRepresentation
bin1010110101001…
…0111100101110
310011111000020000
42231102330232
543112203101
64301405130
71061064453
oct255227456
9104430200
1045428526
1123709140
12132697a6
1395476b0
14606782a
153ec5486
hex2b52f2e

45428526 has 160 divisors (see below), whose sum is σ = 125139168. Its totient is φ = 12130560.

The previous prime is 45428521. The next prime is 45428527. The reversal of 45428526 is 62582454.

It is a happy number.

Its product of digits (76800) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45428521) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 857116 + ... + 857168.

Almost surely, 245428526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45428526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62569584).

45428526 is an abundant number, since it is smaller than the sum of its proper divisors (79710642).

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

45428526 is a wasteful number, since it uses less digits than its factorization.

45428526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 119 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 45428526 is about 6740.0686940120. The cubic root of 45428526 is about 356.8148181607.

It can be divided in two parts, 45428 and 526, that added together give a palindrome (45954).

The spelling of 45428526 in words is "forty-five million, four hundred twenty-eight thousand, five hundred twenty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 37 39 53 54 66 74 78 81 99 106 111 117 143 159 162 198 222 234 286 297 318 333 351 407 429 477 481 583 594 666 689 702 814 858 891 954 962 999 1053 1166 1221 1287 1378 1431 1443 1749 1782 1961 1998 2067 2106 2442 2574 2862 2886 2997 3498 3663 3861 3922 4134 4293 4329 5247 5291 5883 5994 6201 7326 7579 7722 8586 8658 10494 10582 10989 11583 11766 12402 12987 15158 15741 15873 17649 18603 21571 21978 22737 23166 25493 25974 31482 31746 32967 35298 37206 38961 43142 45474 47223 47619 50986 52947 55809 64713 65934 68211 76479 77922 94446 95238 105894 111618 129426 136422 142857 152958 158841 194139 204633 229437 280423 285714 317682 388278 409266 428571 458874 560846 582417 613899 688311 841269 857142 1164834 1227798 1376622 1682538 1747251 2064933 2523807 3494502 4129866 5047614 7571421 15142842 22714263 45428526