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9997056 = 28324339
BaseRepresentation
bin100110001000…
…101100000000
3200210220101100
4212020230000
510024401211
6554134400
7150654636
oct46105400
920726340
109997056
115708a33
123421400
1320c0424
141483356
15d27156
hex988b00

9997056 has 54 divisors (see below), whose sum is σ = 28830620. Its totient is φ = 3331584.

The previous prime is 9997049. The next prime is 9997063. The reversal of 9997056 is 6507999.

It is an interprime number because it is at equal distance from previous prime (9997049) and next prime (9997063).

It is a super-2 number, since 2×99970562 = 199882257334272, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 135 + ... + 4473.

Almost surely, 29997056 is an apocalyptic number.

9997056 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9997056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14415310).

9997056 is an abundant number, since it is smaller than the sum of its proper divisors (18833564).

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

9997056 is a wasteful number, since it uses less digits than its factorization.

9997056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4361 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 9997056 is about 3161.8121386319. The cubic root of 9997056 is about 215.4223247423.

The spelling of 9997056 in words is "nine million, nine hundred ninety-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 4339 8678 13017 17356 26034 34712 39051 52068 69424 78102 104136 138848 156204 208272 277696 312408 416544 555392 624816 833088 1110784 1249632 1666176 2499264 3332352 4998528 9997056