Search a number
-
+
89958078 = 23273132281
BaseRepresentation
bin1010101110010…
…10011010111110
320021021100021200
411113022122332
5141012124303
612532040330
72141426310
oct527123276
9207240250
1089958078
1146862921
12261630a6
1315838b42
14bd397b0
157d6e3a3
hex55ca6be

89958078 has 48 divisors (see below), whose sum is σ = 223562976. Its totient is φ = 25608960.

The previous prime is 89958053. The next prime is 89958079. The reversal of 89958078 is 87085998.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89958079) 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, 38298 + ... + 40578.

It is an arithmetic number, because the mean of its divisors is an integer number (4657562).

Almost surely, 289958078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89958078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111781488).

89958078 is an abundant number, since it is smaller than the sum of its proper divisors (133604898).

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

89958078 is a wasteful number, since it uses less digits than its factorization.

89958078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2609 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The square root of 89958078 is about 9484.6232397497. The cubic root of 89958078 is about 448.0708825716.

The spelling of 89958078 in words is "eighty-nine million, nine hundred fifty-eight thousand, seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 313 626 939 1878 2191 2281 2817 4382 4562 5634 6573 6843 13146 13686 15967 19719 20529 31934 39438 41058 47901 95802 143703 287406 713953 1427906 2141859 4283718 4997671 6425577 9995342 12851154 14993013 29986026 44979039 89958078