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88734096 = 24331171263
BaseRepresentation
bin1010100100111…
…11100110010000
320011222011022000
411102133212100
5140203442341
612445514000
72125140663
oct522374620
9204864260
1088734096
11460a7270
1225872900
13154ca9a9
14badb6da
157bcb8b6
hex549f990

88734096 has 160 divisors (see below), whose sum is σ = 282839040. Its totient is φ = 26409600.

The previous prime is 88734083. The next prime is 88734097. The reversal of 88734096 is 69043788.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (88734097) 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 31 ways as a sum of consecutive naturals, for example, 337261 + ... + 337523.

It is an arithmetic number, because the mean of its divisors is an integer number (1767744).

Almost surely, 288734096 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 88734096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141419520).

88734096 is an abundant number, since it is smaller than the sum of its proper divisors (194104944).

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

88734096 is a wasteful number, since it uses less digits than its factorization.

88734096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 350 counting only the distinct ones).

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

The square root of 88734096 is about 9419.8777062125. The cubic root of 88734096 is about 446.0294242152.

The spelling of 88734096 in words is "eighty-eight million, seven hundred thirty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 71 72 88 99 108 132 142 144 176 198 213 216 263 264 284 297 396 426 432 526 528 568 594 639 781 789 792 852 1052 1136 1188 1278 1562 1578 1584 1704 1917 2104 2343 2367 2376 2556 2893 3124 3156 3408 3834 4208 4686 4734 4752 5112 5786 6248 6312 7029 7101 7668 8679 9372 9468 10224 11572 12496 12624 14058 14202 15336 17358 18673 18744 18936 21087 23144 26037 28116 28404 30672 34716 37346 37488 37872 42174 46288 52074 56019 56232 56808 69432 74692 78111 84348 104148 112038 112464 113616 138864 149384 156222 168057 168696 205403 208296 224076 298768 312444 336114 337392 410806 416592 448152 504171 616209 624888 672228 821612 896304 1008342 1232418 1249776 1344456 1643224 1848627 2016684 2464836 2688912 3286448 3697254 4033368 4929672 5545881 7394508 8066736 9859344 11091762 14789016 22183524 29578032 44367048 88734096