Search a number
-
+
89497368 = 233210711617
BaseRepresentation
bin1010101010110…
…01111100011000
320020101221022100
411111121330120
5140402403433
612514123400
72134500162
oct525317430
9206357270
1089497368
1146578774
1225b80560
131570722c
14bc59932
157cccb13
hex5559f18

89497368 has 48 divisors (see below), whose sum is σ = 244675080. Its totient is φ = 29551104.

The previous prime is 89497363. The next prime is 89497399. The reversal of 89497368 is 86379498.

It is a super-3 number, since 3×894973683 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89497363) 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, 1896 + ... + 13512.

Almost surely, 289497368 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 89497368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122337540).

89497368 is an abundant number, since it is smaller than the sum of its proper divisors (155177712).

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

89497368 is a wasteful number, since it uses less digits than its factorization.

89497368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11736 (or 11729 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 89497368 is about 9460.3048576671. The cubic root of 89497368 is about 447.3046584562.

The spelling of 89497368 in words is "eighty-nine million, four hundred ninety-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 642 856 963 1284 1926 2568 3852 7704 11617 23234 34851 46468 69702 92936 104553 139404 209106 278808 418212 836424 1243019 2486038 3729057 4972076 7458114 9944152 11187171 14916228 22374342 29832456 44748684 89497368