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9996192 = 253261569
BaseRepresentation
bin100110001000…
…011110100000
3200210212012100
4212020132200
510024334232
6554130400
7150652263
oct46103640
920725170
109996192
115708318
123420a00
1320bcc0b
141482cda
15d26c7c
hex9887a0

9996192 has 72 divisors (see below), whose sum is σ = 28943460. Its totient is φ = 3271680.

The previous prime is 9996157. The next prime is 9996209. The reversal of 9996192 is 2916999.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7817616 + 2178576 = 2796^2 + 1476^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17284 + ... + 17852.

Almost surely, 29996192 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 9996192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14471730).

9996192 is an abundant number, since it is smaller than the sum of its proper divisors (18947268).

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

9996192 is a wasteful number, since it uses less digits than its factorization.

9996192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 635 counting only the distinct ones).

The product of its digits is 78732, while the sum is 45.

The square root of 9996192 is about 3161.6755051713. The cubic root of 9996192 is about 215.4161185735.

The spelling of 9996192 in words is "nine million, nine hundred ninety-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 569 732 976 1098 1138 1464 1707 1952 2196 2276 2928 3414 4392 4552 5121 5856 6828 8784 9104 10242 13656 17568 18208 20484 27312 34709 40968 54624 69418 81936 104127 138836 163872 208254 277672 312381 416508 555344 624762 833016 1110688 1249524 1666032 2499048 3332064 4998096 9996192