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89488152 = 2335133541
BaseRepresentation
bin1010101010101…
…11101100011000
320020101110200000
411111113230120
5140402110102
612514013000
72134431255
oct525275430
9206343600
1089488152
1146571856
1225b77160
1315702c90
14bc5642c
157cca01c
hex5557b18

89488152 has 96 divisors (see below), whose sum is σ = 270750480. Its totient is φ = 27527040.

The previous prime is 89488129. The next prime is 89488169. The reversal of 89488152 is 25188498.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 89488098 and 89488107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23502 + ... + 27042.

Almost surely, 289488152 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 89488152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135375240).

89488152 is an abundant number, since it is smaller than the sum of its proper divisors (181262328).

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

89488152 is a wasteful number, since it uses less digits than its factorization.

89488152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3575 (or 3559 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 89488152 is about 9459.8177572298. The cubic root of 89488152 is about 447.2893041825.

The spelling of 89488152 in words is "eighty-nine million, four hundred eighty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 936 972 1053 1404 1944 2106 2808 3159 3541 4212 6318 7082 8424 10623 12636 14164 21246 25272 28328 31869 42492 46033 63738 84984 92066 95607 127476 138099 184132 191214 254952 276198 286821 368264 382428 414297 552396 573642 764856 828594 860463 1104792 1147284 1242891 1657188 1720926 2294568 2485782 3314376 3441852 3728673 4971564 6883704 7457346 9943128 11186019 14914692 22372038 29829384 44744076 89488152