Search a number
-
+
89783892 = 2232111911933
BaseRepresentation
bin1010101100111…
…11111001010100
320020221111100100
411112133321110
5140441041032
612524214100
72140102422
oct526377124
9206844310
1089783892
1146753a70
122609a330
13157a7783
14bcd2112
157d3797c
hex559fe54

89783892 has 72 divisors (see below), whose sum is σ = 260638560. Its totient is φ = 25773120.

The previous prime is 89783833. The next prime is 89783893. The reversal of 89783892 is 29838798.

It is a super-2 number, since 2×897838922 = 16122294525335328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89783893) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1558 + ... + 13490.

It is an arithmetic number, because the mean of its divisors is an integer number (3619980).

Almost surely, 289783892 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 89783892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130319280).

89783892 is an abundant number, since it is smaller than the sum of its proper divisors (170854668).

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

89783892 is a wasteful number, since it uses less digits than its factorization.

89783892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11973 (or 11968 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 89783892 is about 9475.4362432555. The cubic root of 89783892 is about 447.7814955394.

The spelling of 89783892 in words is "eighty-nine million, seven hundred eighty-three thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 7524 11933 23866 35799 47732 71598 107397 131263 143196 214794 226727 262526 393789 429588 453454 525052 680181 787578 906908 1181367 1360362 1575156 2040543 2362734 2493997 2720724 4081086 4725468 4987994 7481991 8162172 9975988 14963982 22445973 29927964 44891946 89783892