Search a number
-
+
9928072 = 2371171227
BaseRepresentation
bin100101110111…
…110110001000
3200200101202101
4211313312020
510020144242
6552443144
7150246550
oct45676610
920611671
109928072
115671120
1233a94b4
132097bcb
141466160
15d119b7
hex977d88

9928072 has 64 divisors (see below), whose sum is σ = 23639040. Its totient is φ = 3796800.

The previous prime is 9928069. The next prime is 9928081. The reversal of 9928072 is 2708299.

It is a super-2 number, since 2×99280722 = 197133227274368, which contains 22 as substring.

It is an Ulam number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 43623 + ... + 43849.

It is an arithmetic number, because the mean of its divisors is an integer number (369360).

Almost surely, 29928072 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 9928072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11819520).

9928072 is an abundant number, since it is smaller than the sum of its proper divisors (13710968).

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

9928072 is a wasteful number, since it uses less digits than its factorization.

9928072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 9928072 is about 3150.8843203139. The cubic root of 9928072 is about 214.9256782954.

The spelling of 9928072 in words is "nine million, nine hundred twenty-eight thousand, seventy-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 71 77 88 142 154 227 284 308 454 497 568 616 781 908 994 1562 1589 1816 1988 2497 3124 3178 3976 4994 5467 6248 6356 9988 10934 12712 16117 17479 19976 21868 32234 34958 43736 64468 69916 112819 128936 139832 177287 225638 354574 451276 709148 902552 1241009 1418296 2482018 4964036 9928072