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89479264 = 257537537
BaseRepresentation
bin1010101010101…
…01100001100000
320020101000110211
411111111201200
5140401314024
612513503504
72134363330
oct525254140
9206330424
1089479264
1146566106
1225b71b94
13156cbc14
14bc530c0
157cc7594
hex5555860

89479264 has 48 divisors (see below), whose sum is σ = 205154208. Its totient is φ = 37619712.

The previous prime is 89479249. The next prime is 89479277. The reversal of 89479264 is 46297498.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 8104 + ... + 15640.

It is an arithmetic number, because the mean of its divisors is an integer number (4274046).

Almost surely, 289479264 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 89479264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102577104).

89479264 is an abundant number, since it is smaller than the sum of its proper divisors (115674944).

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

89479264 is a wasteful number, since it uses less digits than its factorization.

89479264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7607 (or 7599 counting only the distinct ones).

The product of its digits is 870912, while the sum is 49.

The square root of 89479264 is about 9459.3479690727. The cubic root of 89479264 is about 447.2744953731.

The spelling of 89479264 in words is "eighty-nine million, four hundred seventy-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 112 212 224 371 424 742 848 1484 1696 2968 5936 7537 11872 15074 30148 52759 60296 105518 120592 211036 241184 399461 422072 798922 844144 1597844 1688288 2796227 3195688 5592454 6391376 11184908 12782752 22369816 44739632 89479264