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89039104 = 287114517
BaseRepresentation
bin1010100111010…
…10000100000000
320012112122200121
411103222010000
5140243222404
612500230024
72130551140
oct523520400
9205478617
1089039104
1146295440
122599b314
13155a677b
14bb7a920
157c3be54
hex54ea100

89039104 has 72 divisors (see below), whose sum is σ = 221635008. Its totient is φ = 34682880.

The previous prime is 89039063. The next prime is 89039123. The reversal of 89039104 is 40193098.

It is a super-2 number, since 2×890391042 = 15855924082245632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 89039104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17454 + ... + 21970.

It is an arithmetic number, because the mean of its divisors is an integer number (3078264).

Almost surely, 289039104 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 89039104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110817504).

89039104 is an abundant number, since it is smaller than the sum of its proper divisors (132595904).

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

89039104 is a wasteful number, since it uses less digits than its factorization.

89039104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4551 (or 4537 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 89039104 is about 9436.0534123117. The cubic root of 89039104 is about 446.5398892696.

It can be divided in two parts, 89039 and 104, that multiplied together give a triangular number (9260056 = T4303).

The spelling of 89039104 in words is "eighty-nine million, thirty-nine thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 704 896 1232 1408 1792 2464 2816 4517 4928 9034 9856 18068 19712 31619 36136 49687 63238 72272 99374 126476 144544 198748 252952 289088 347809 397496 505904 578176 695618 794992 1011808 1156352 1391236 1589984 2023616 2782472 3179968 4047232 5564944 6359936 8094464 11129888 12719872 22259776 44519552 89039104