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90764388 = 22351113653
BaseRepresentation
bin1010110100011…
…11010001100100
320022210022100000
411122033101210
5141213430023
613001221300
72151325131
oct532172144
9208708300
1090764388
11472636a0
1226491830
1315a5bb50
14c0a9588
157e7d243
hex568f464

90764388 has 144 divisors (see below), whose sum is σ = 279953856. Its totient is φ = 25349760.

The previous prime is 90764381. The next prime is 90764389. The reversal of 90764388 is 88346709.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (90764381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138670 + ... + 139322.

It is an arithmetic number, because the mean of its divisors is an integer number (1944124).

Almost surely, 290764388 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 90764388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139976928).

90764388 is an abundant number, since it is smaller than the sum of its proper divisors (189189468).

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

90764388 is a wasteful number, since it uses less digits than its factorization.

90764388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 90764388 is about 9527.0345858509. The cubic root of 90764388 is about 449.4056152496.

The spelling of 90764388 in words is "ninety million, seven hundred sixty-four thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 81 99 108 117 132 143 156 162 198 234 243 286 297 324 351 396 429 468 486 572 594 653 702 858 891 972 1053 1188 1287 1306 1404 1716 1782 1959 2106 2574 2612 2673 3159 3564 3861 3918 4212 5148 5346 5877 6318 7183 7722 7836 8489 10692 11583 11754 12636 14366 15444 16978 17631 21549 23166 23508 25467 28732 33956 34749 35262 43098 46332 50934 52893 64647 69498 70524 76401 86196 93379 101868 105786 129294 138996 152802 158679 186758 193941 211572 229203 258588 280137 305604 317358 373516 387882 458406 560274 581823 634716 687609 775764 840411 916812 1120548 1163646 1375218 1680822 1745469 2062827 2327292 2521233 2750436 3361644 3490938 4125654 5042466 6981876 7563699 8251308 10084932 15127398 22691097 30254796 45382194 90764388