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9985296 = 243277751
BaseRepresentation
bin100110000101…
…110100010000
3200210022020210
4212011310100
510024012141
6554004120
7150605436
oct46056420
920708223
109985296
115700112
123416640
1320b7c79
14147cd56
15d23916
hex985d10

9985296 has 40 divisors (see below), whose sum is σ = 25922944. Its totient is φ = 3312000.

The previous prime is 9985267. The next prime is 9985303. The reversal of 9985296 is 6925899.

It is a super-2 number, since 2×99852962 = 199412272415232, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12921 + ... + 13671.

Almost surely, 29985296 is an apocalyptic number.

It is an amenable number.

9985296 is an abundant number, since it is smaller than the sum of its proper divisors (15937648).

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

9985296 is a wasteful number, since it uses less digits than its factorization.

9985296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1033 counting only the distinct ones).

The product of its digits is 349920, while the sum is 48.

The square root of 9985296 is about 3159.9518983681. The cubic root of 9985296 is about 215.3378211791.

The spelling of 9985296 in words is "nine million, nine hundred eighty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 277 554 751 831 1108 1502 1662 2216 2253 3004 3324 4432 4506 6008 6648 9012 12016 13296 18024 36048 208027 416054 624081 832108 1248162 1664216 2496324 3328432 4992648 9985296