Search a number
-
+
89037312 = 29373132
BaseRepresentation
bin1010100111010…
…01101000000000
320012112120020020
411103221220000
5140243143222
612500213440
72130543000
oct523515000
9205476206
1089037312
1146294061
122599a280
13155a5a00
14bb7a000
157c3b65c
hex54e9a00

89037312 has 240 divisors, whose sum is σ = 299534400. Its totient is φ = 23482368.

The previous prime is 89037307. The next prime is 89037323. The reversal of 89037312 is 21373098.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6849018 + ... + 6849030.

It is an arithmetic number, because the mean of its divisors is an integer number (1248060).

Almost surely, 289037312 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 89037312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149767200).

89037312 is an abundant number, since it is smaller than the sum of its proper divisors (210497088).

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

89037312 is an equidigital number, since it uses as much as digits as its factorization.

89037312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 89037312 is about 9435.9584568818. The cubic root of 89037312 is about 446.5368935639.

The spelling of 89037312 in words is "eighty-nine million, thirty-seven thousand, three hundred twelve".