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89868528 = 2434174079
BaseRepresentation
bin1010101101101…
…00100011110000
320021002210110000
411112310203300
5141001243103
612530110000
72140604241
oct526644360
9207083400
1089868528
1146801612
122611b300
1315807159
14bd14cc8
157d52aa3
hex55b48f0

89868528 has 100 divisors (see below), whose sum is σ = 275473440. Its totient is φ = 28187136.

The previous prime is 89868517. The next prime is 89868533. The reversal of 89868528 is 82586898.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 19993 + ... + 24071.

Almost surely, 289868528 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 89868528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137736720).

89868528 is an abundant number, since it is smaller than the sum of its proper divisors (185604912).

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

89868528 is a wasteful number, since it uses less digits than its factorization.

89868528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4116 (or 4101 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The square root of 89868528 is about 9479.9012653086. The cubic root of 89868528 is about 447.9221537783.

The spelling of 89868528 in words is "eighty-nine million, eight hundred sixty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 306 324 408 432 459 612 648 816 918 1224 1296 1377 1836 2448 2754 3672 4079 5508 7344 8158 11016 12237 16316 22032 24474 32632 36711 48948 65264 69343 73422 97896 110133 138686 146844 195792 208029 220266 277372 293688 330399 416058 440532 554744 587376 624087 660798 832116 881064 1109488 1248174 1321596 1664232 1762128 1872261 2496348 2643192 3328464 3744522 4992696 5286384 5616783 7489044 9985392 11233566 14978088 22467132 29956176 44934264 89868528