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81374436 = 223311213479
BaseRepresentation
bin1001101100110…
…10110011100100
312200010020202000
410312122303210
5131312440221
612024045300
72005446153
oct466326344
9180106660
1081374436
1141a2a900
1223303830
1313b21b70
14ab4359a
157225e26
hex4d9ace4

81374436 has 144 divisors (see below), whose sum is σ = 250252800. Its totient is φ = 22714560.

The previous prime is 81374407. The next prime is 81374441. The reversal of 81374436 is 63447318.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 81374436.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169645 + ... + 170123.

Almost surely, 281374436 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 81374436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125126400).

81374436 is an abundant number, since it is smaller than the sum of its proper divisors (168878364).

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

81374436 is a wasteful number, since it uses less digits than its factorization.

81374436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 508 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 81374436 is about 9020.7780152268. The cubic root of 81374436 is about 433.3405503072.

It can be divided in two parts, 81374 and 436, that added together give a triangular number (81810 = T404).

The spelling of 81374436 in words is "eighty-one million, three hundred seventy-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 121 132 143 156 198 234 242 286 297 351 363 396 429 468 479 484 572 594 702 726 858 958 1089 1188 1287 1404 1437 1452 1573 1716 1916 2178 2574 2874 3146 3267 3861 4311 4356 4719 5148 5269 5748 6227 6292 6534 7722 8622 9438 10538 12454 12933 13068 14157 15444 15807 17244 18681 18876 21076 24908 25866 28314 31614 37362 42471 47421 51732 56043 56628 57959 63228 68497 74724 84942 94842 112086 115918 136994 142263 168129 169884 173877 189684 205491 224172 231836 273988 284526 336258 347754 410982 521631 569052 616473 672516 695508 753467 821964 1043262 1232946 1506934 1564893 1849419 2086524 2260401 2465892 3013868 3129786 3698838 4520802 6259572 6781203 7397676 9041604 13562406 20343609 27124812 40687218 81374436