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89367328 = 2523295379
BaseRepresentation
bin1010101001110…
…10001100100000
320020011022221001
411110322030200
5140334223303
612511241344
72133416101
oct524721440
9206138831
1089367328
1146499aa6
1225b19254
131568cc9b
14bc243a8
157ca431d
hex553a320

89367328 has 96 divisors (see below), whose sum is σ = 195955200. Its totient is φ = 39975936.

The previous prime is 89367301. The next prime is 89367337. The reversal of 89367328 is 82376398.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1131193 + ... + 1131271.

It is an arithmetic number, because the mean of its divisors is an integer number (2041200).

Almost surely, 289367328 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 89367328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97977600).

89367328 is an abundant number, since it is smaller than the sum of its proper divisors (106587872).

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

89367328 is a wasteful number, since it uses less digits than its factorization.

89367328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 186 counting only the distinct ones).

The product of its digits is 435456, while the sum is 46.

The square root of 89367328 is about 9453.4294306352. The cubic root of 89367328 is about 447.0879083462.

The spelling of 89367328 in words is "eighty-nine million, three hundred sixty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 23 29 32 46 53 58 79 92 106 116 158 184 212 232 316 368 424 464 632 667 736 848 928 1219 1264 1334 1537 1696 1817 2291 2438 2528 2668 3074 3634 4187 4582 4876 5336 6148 7268 8374 9164 9752 10672 12296 14536 16748 18328 19504 21344 24592 29072 33496 35351 36656 39008 49184 52693 58144 66992 70702 73312 96301 105386 121423 133984 141404 192602 210772 242846 282808 385204 421544 485692 565616 770408 843088 971384 1131232 1540816 1686176 1942768 2792729 3081632 3885536 5585458 11170916 22341832 44683664 89367328