Search a number
-
+
89019008 = 271361877
BaseRepresentation
bin1010100111001…
…01001010000000
320012111122010022
411103211022000
5140242102013
612455553012
72130435431
oct523451200
9205448108
1089019008
1146281331
122598b768
131559a590
14bb73488
157c36008
hex54e5280

89019008 has 64 divisors (see below), whose sum is σ = 194336520. Its totient is φ = 40366080.

The previous prime is 89018977. The next prime is 89019013. The reversal of 89019008 is 80091098.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 51955264 + 37063744 = 7208^2 + 6088^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 101066 + ... + 101942.

Almost surely, 289019008 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 89019008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97168260).

89019008 is an abundant number, since it is smaller than the sum of its proper divisors (105317512).

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

89019008 is a wasteful number, since it uses less digits than its factorization.

89019008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 35.

The square root of 89019008 is about 9434.9885002580. The cubic root of 89019008 is about 446.5062922677.

The spelling of 89019008 in words is "eighty-nine million, nineteen thousand, eight".

Divisors: 1 2 4 8 13 16 26 32 52 61 64 104 122 128 208 244 416 488 793 832 877 976 1586 1664 1754 1952 3172 3508 3904 6344 7016 7808 11401 12688 14032 22802 25376 28064 45604 50752 53497 56128 91208 101504 106994 112256 182416 213988 364832 427976 695461 729664 855952 1390922 1459328 1711904 2781844 3423808 5563688 6847616 11127376 22254752 44509504 89019008