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88134528 = 2731723587
BaseRepresentation
bin1010100000011…
…01001110000000
320010211200211210
411100031032000
5140030301103
612425010120
72120062656
oct520151600
9203750753
1088134528
1145827859
1225623940
131534ab11
14b9c2dd6
157b0de03
hex540d380

88134528 has 128 divisors (see below), whose sum is σ = 259096320. Its totient is φ = 26402816.

The previous prime is 88134523. The next prime is 88134539. The reversal of 88134528 is 82543188.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88134523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149851 + ... + 150437.

It is an arithmetic number, because the mean of its divisors is an integer number (2024190).

Almost surely, 288134528 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 88134528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129548160).

88134528 is an abundant number, since it is smaller than the sum of its proper divisors (170961792).

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

88134528 is a wasteful number, since it uses less digits than its factorization.

88134528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 632 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The square root of 88134528 is about 9387.9991478483. Note that the first 3 decimals coincide. The cubic root of 88134528 is about 445.0225599807.

The spelling of 88134528 in words is "eighty-eight million, one hundred thirty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 64 68 69 92 96 102 128 136 138 184 192 204 272 276 368 384 391 408 544 552 587 736 782 816 1088 1104 1173 1174 1472 1564 1632 1761 2176 2208 2346 2348 2944 3128 3264 3522 4416 4692 4696 6256 6528 7044 8832 9384 9392 9979 12512 13501 14088 18768 18784 19958 25024 27002 28176 29937 37536 37568 39916 40503 50048 54004 56352 59874 75072 75136 79832 81006 108008 112704 119748 150144 159664 162012 216016 225408 229517 239496 319328 324024 432032 459034 478992 638656 648048 688551 864064 918068 957984 1277312 1296096 1377102 1728128 1836136 1915968 2592192 2754204 3672272 3831936 5184384 5508408 7344544 11016816 14689088 22033632 29378176 44067264 88134528