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9997728 = 253138011
BaseRepresentation
bin100110001000…
…110110100000
3200210221022020
4212020312200
510024411403
6554141440
7150656616
oct46106640
920727266
109997728
115709494
123421880
1320c0820
1414836b6
15d27453
hex988da0

9997728 has 48 divisors (see below), whose sum is σ = 28266336. Its totient is φ = 3075840.

The previous prime is 9997711. The next prime is 9997739. The reversal of 9997728 is 8277999.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (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, 2758 + ... + 5253.

It is an arithmetic number, because the mean of its divisors is an integer number (588882).

Almost surely, 29997728 is an apocalyptic number.

It is an amenable number.

9997728 is an abundant number, since it is smaller than the sum of its proper divisors (18268608).

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

9997728 is a wasteful number, since it uses less digits than its factorization.

9997728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8037 (or 8029 counting only the distinct ones).

The product of its digits is 571536, while the sum is 51.

The square root of 9997728 is about 3161.9184050193. The cubic root of 9997728 is about 215.4271515153.

The spelling of 9997728 in words is "nine million, nine hundred ninety-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 8011 16022 24033 32044 48066 64088 96132 104143 128176 192264 208286 256352 312429 384528 416572 624858 769056 833144 1249716 1666288 2499432 3332576 4998864 9997728