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9956992 = 27107727
BaseRepresentation
bin100101111110…
…111010000000
3200201212102111
4211332322000
510022110432
6553225104
7150430063
oct45767200
920655374
109956992
115690921
123402194
1320a8116
1414728da
15d1a347
hex97ee80

9956992 has 32 divisors (see below), whose sum is σ = 20049120. Its totient is φ = 4925184.

The previous prime is 9956977. The next prime is 9956993. The reversal of 9956992 is 2996599.

9956992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (9956993) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13333 + ... + 14059.

It is an arithmetic number, because the mean of its divisors is an integer number (626535).

Almost surely, 29956992 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 9956992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10024560).

9956992 is an abundant number, since it is smaller than the sum of its proper divisors (10092128).

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

9956992 is a wasteful number, since it uses less digits than its factorization.

9956992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 836 counting only the distinct ones).

The product of its digits is 393660, while the sum is 49.

The square root of 9956992 is about 3155.4701709888. The cubic root of 9956992 is about 215.1341654037.

The spelling of 9956992 in words is "nine million, nine hundred fifty-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 107 128 214 428 727 856 1454 1712 2908 3424 5816 6848 11632 13696 23264 46528 77789 93056 155578 311156 622312 1244624 2489248 4978496 9956992