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89520816 = 24371153457
BaseRepresentation
bin1010101010111…
…11101010110000
320020110010110210
411111133222300
5140404131231
612514424120
72134625430
oct525375260
9206403423
1089520816
1146594350
1225b92040
1315714ac8
14bc642c0
157cd4a46
hex555fab0

89520816 has 160 divisors (see below), whose sum is σ = 294409728. Its totient is φ = 22763520.

The previous prime is 89520811. The next prime is 89520833. The reversal of 89520816 is 61802598.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89520811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195660 + ... + 196116.

Almost surely, 289520816 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 89520816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147204864).

89520816 is an abundant number, since it is smaller than the sum of its proper divisors (204888912).

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

89520816 is a wasteful number, since it uses less digits than its factorization.

89520816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 89520816 is about 9461.5440600359. The cubic root of 89520816 is about 447.3437191348.

The spelling of 89520816 in words is "eighty-nine million, five hundred twenty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 53 56 66 77 84 88 106 112 132 154 159 168 176 212 231 264 308 318 336 371 424 457 462 528 583 616 636 742 848 914 924 1113 1166 1232 1272 1371 1484 1749 1828 1848 2226 2332 2544 2742 2968 3199 3498 3656 3696 4081 4452 4664 5027 5484 5936 6398 6996 7312 8162 8904 9328 9597 10054 10968 12243 12796 13992 15081 16324 17808 19194 20108 21936 24221 24486 25592 27984 30162 32648 35189 38388 40216 48442 48972 51184 60324 65296 70378 72663 76776 80432 96884 97944 105567 120648 140756 145326 153552 169547 193768 195888 211134 241296 266431 281512 290652 339094 387536 422268 508641 532862 563024 581304 678188 799293 844536 1017282 1065724 1162608 1356376 1598586 1689072 1865017 2034564 2131448 2712752 3197172 3730034 4069128 4262896 5595051 6394344 7460068 8138256 11190102 12788688 14920136 22380204 29840272 44760408 89520816