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89440704 = 2632315009
BaseRepresentation
bin1010101010011…
…00000111000000
320020022001120200
411111030013000
5140344100304
612513005200
72134143033
oct525140700
9206261520
1089440704
114653a141
1225b53800
13156b74c2
14bc4301a
157cbae39
hex554c1c0

89440704 has 84 divisors (see below), whose sum is σ = 264688320. Its totient is φ = 28846080.

The previous prime is 89440699. The next prime is 89440709. The reversal of 89440704 is 40704498.

It is an interprime number because it is at equal distance from previous prime (89440699) and next prime (89440709).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89440709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15352 + ... + 20360.

Almost surely, 289440704 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 89440704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132344160).

89440704 is an abundant number, since it is smaller than the sum of its proper divisors (175247616).

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

89440704 is a wasteful number, since it uses less digits than its factorization.

89440704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5058 (or 5045 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 89440704 is about 9457.3095539905. The cubic root of 89440704 is about 447.2102369747.

The spelling of 89440704 in words is "eighty-nine million, four hundred forty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1984 2232 2976 4464 5009 5952 8928 10018 15027 17856 20036 30054 40072 45081 60108 80144 90162 120216 155279 160288 180324 240432 310558 320576 360648 465837 480864 621116 721296 931674 961728 1242232 1397511 1442592 1863348 2484464 2795022 2885184 3726696 4968928 5590044 7453392 9937856 11180088 14906784 22360176 29813568 44720352 89440704