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89342864 = 24132193747
BaseRepresentation
bin1010101001101…
…00001110010000
320020010002100222
411110310032100
5140332432424
612510532212
72133254552
oct524641620
9206102328
1089342864
1146482686
1225b07068
1315681b00
14bc194d2
157c9be5e
hex5534390

89342864 has 120 divisors (see below), whose sum is σ = 206951040. Its totient is φ = 37200384.

The previous prime is 89342861. The next prime is 89342873. The reversal of 89342864 is 46824398.

89342864 = 1682 + 1692 + ... + 6482.

It is not an unprimeable number, because it can be changed into a prime (89342861) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1900889 + ... + 1900935.

It is an arithmetic number, because the mean of its divisors is an integer number (1724592).

Almost surely, 289342864 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 89342864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103475520).

89342864 is an abundant number, since it is smaller than the sum of its proper divisors (117608176).

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

89342864 is a wasteful number, since it uses less digits than its factorization.

89342864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 118 counting only the distinct ones).

The product of its digits is 331776, while the sum is 44.

The square root of 89342864 is about 9452.1354201048. The cubic root of 89342864 is about 447.0471083617.

The spelling of 89342864 in words is "eighty-nine million, three hundred forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 19 26 37 38 47 52 74 76 94 104 148 152 169 188 208 247 296 304 338 376 481 494 592 611 676 703 752 893 962 988 1222 1352 1406 1739 1786 1924 1976 2444 2704 2812 3211 3478 3572 3848 3952 4888 5624 6253 6422 6956 7144 7696 7943 9139 9776 11248 11609 12506 12844 13912 14288 15886 18278 22607 23218 25012 25688 27824 31772 33041 36556 45214 46436 50024 51376 63544 66082 73112 90428 92872 100048 118807 127088 132164 146224 150917 180856 185744 237614 264328 293891 301834 361712 429533 475228 528656 587782 603668 859066 950456 1175564 1207336 1718132 1900912 2351128 2414672 3436264 4702256 5583929 6872528 11167858 22335716 44671432 89342864