Search a number
-
+
89364408 = 23372112521
BaseRepresentation
bin1010101001110…
…01011110111000
320020011011220220
411110321132320
5140334130113
612511220040
72133404430
oct524713670
9206134826
1089364408
1146497891
1225b17620
131568b863
14bc232c0
157ca3523
hex55397b8

89364408 has 64 divisors (see below), whose sum is σ = 256638720. Its totient is φ = 25401600.

The previous prime is 89364397. The next prime is 89364469. The reversal of 89364408 is 80446398.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 89364408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34188 + ... + 36708.

It is an arithmetic number, because the mean of its divisors is an integer number (4009980).

Almost surely, 289364408 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 89364408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128319360).

89364408 is an abundant number, since it is smaller than the sum of its proper divisors (167274312).

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

89364408 is a wasteful number, since it uses less digits than its factorization.

89364408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 89364408 is about 9453.2749880663. The cubic root of 89364408 is about 447.0830388898.

The spelling of 89364408 in words is "eighty-nine million, three hundred sixty-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 211 422 633 844 1266 1477 1688 2521 2532 2954 4431 5042 5064 5908 7563 8862 10084 11816 15126 17647 17724 20168 30252 35294 35448 52941 60504 70588 105882 141176 211764 423528 531931 1063862 1595793 2127724 3191586 3723517 4255448 6383172 7447034 11170551 12766344 14894068 22341102 29788136 44682204 89364408