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45504342 = 23413173141
BaseRepresentation
bin1010110110010…
…1011101010110
310011121212020000
42231211131112
543122114332
64303152130
71061531502
oct255453526
9104555200
1045504342
11237600a4
12132a5646
139573060
146087302
153edcb7c
hex2b65756

45504342 has 160 divisors (see below), whose sum is σ = 122943744. Its totient is φ = 12441600.

The previous prime is 45504313. The next prime is 45504377. The reversal of 45504342 is 24340554.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1109842 + ... + 1109882.

Almost surely, 245504342 is an apocalyptic number.

45504342 is the 5508-th pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45504342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61471872).

45504342 is an abundant number, since it is smaller than the sum of its proper divisors (77439402).

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

45504342 is a wasteful number, since it uses less digits than its factorization.

45504342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 45504342 is about 6745.6906243912. The cubic root of 45504342 is about 357.0132047937.

Adding to 45504342 its reverse (24340554), we get a palindrome (69844896).

The spelling of 45504342 in words is "forty-five million, five hundred four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 17 18 26 27 31 34 39 41 51 54 62 78 81 82 93 102 117 123 153 162 186 221 234 246 279 306 351 369 403 442 459 527 533 558 663 697 702 738 806 837 918 1053 1054 1066 1107 1209 1271 1326 1377 1394 1581 1599 1674 1989 2091 2106 2214 2418 2511 2542 2754 3162 3198 3321 3627 3813 3978 4182 4743 4797 5022 5967 6273 6642 6851 7254 7626 9061 9486 9594 10881 11439 11934 12546 13702 14229 14391 16523 17901 18122 18819 20553 21607 21762 22878 27183 28458 28782 32643 33046 34317 35802 37638 41106 42687 43173 43214 49569 54366 56457 61659 64821 65286 68634 81549 85374 86346 99138 102951 112914 123318 129642 148707 163098 184977 194463 205902 244647 280891 297414 369954 388926 446121 489294 554931 561782 583389 733941 842673 892242 1109862 1166778 1338363 1467882 1685346 1750167 2528019 2676726 3500334 5056038 7584057 15168114 22752171 45504342