Search a number
-
+
89909792 = 2571992017
BaseRepresentation
bin1010101101111…
…10101000100000
320021011220001022
411112332220200
5141004103132
612531025012
72141135450
oct526765040
9207156038
1089909792
114682a615
122613b168
131581cb7b
14bd25d60
157d5ee12
hex55bea20

89909792 has 48 divisors (see below), whose sum is σ = 203414400. Its totient is φ = 38320128.

The previous prime is 89909749. The next prime is 89909797. The reversal of 89909792 is 29790998.

It is not an unprimeable number, because it can be changed into a prime (89909797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43568 + ... + 45584.

It is an arithmetic number, because the mean of its divisors is an integer number (4237800).

Almost surely, 289909792 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 89909792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101707200).

89909792 is an abundant number, since it is smaller than the sum of its proper divisors (113504608).

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

89909792 is a wasteful number, since it uses less digits than its factorization.

89909792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 53.

The square root of 89909792 is about 9482.0774095132. The cubic root of 89909792 is about 447.9906992117.

The spelling of 89909792 in words is "eighty-nine million, nine hundred nine thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 199 224 398 796 1393 1592 2017 2786 3184 4034 5572 6368 8068 11144 14119 16136 22288 28238 32272 44576 56476 64544 112952 225904 401383 451808 802766 1605532 2809681 3211064 5619362 6422128 11238724 12844256 22477448 44954896 89909792