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9928992 = 253591753
BaseRepresentation
bin100101111000…
…000100100000
3200200110000110
4211320010200
510020211432
6552451320
7150252333
oct45700440
920613013
109928992
115671887
1233a9b40
132098458
14146661a
15d11dcc
hex978120

9928992 has 48 divisors (see below), whose sum is σ = 26520480. Its totient is φ = 3251712.

The previous prime is 9928981. The next prime is 9928999. The reversal of 9928992 is 2998299.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (9928999) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4788 + ... + 6540.

It is an arithmetic number, because the mean of its divisors is an integer number (552510).

Almost surely, 29928992 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 9928992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13260240).

9928992 is an abundant number, since it is smaller than the sum of its proper divisors (16591488).

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

9928992 is a wasteful number, since it uses less digits than its factorization.

9928992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1817 counting only the distinct ones).

The product of its digits is 209952, while the sum is 48.

The square root of 9928992 is about 3151.0303076930. The cubic root of 9928992 is about 214.9323168961.

The spelling of 9928992 in words is "nine million, nine hundred twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1753 1888 2832 3506 5259 5664 7012 10518 14024 21036 28048 42072 56096 84144 103427 168288 206854 310281 413708 620562 827416 1241124 1654832 2482248 3309664 4964496 9928992