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9148968 = 2332314099
BaseRepresentation
bin100010111001…
…101000101000
3122012211000200
4202321220220
54320231333
6524032200
7140523243
oct42715050
918184020
109148968
115189834
123092660
131b843ba
14130225a
15c0ac13
hex8b9a28

9148968 has 48 divisors (see below), whose sum is σ = 25584000. Its totient is φ = 2950560.

The previous prime is 9148961. The next prime is 9148991. The reversal of 9148968 is 8698419.

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

It is not an unprimeable number, because it can be changed into a prime (9148961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183 + ... + 4281.

It is an arithmetic number, because the mean of its divisors is an integer number (533000).

Almost surely, 29148968 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 9148968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12792000).

9148968 is an abundant number, since it is smaller than the sum of its proper divisors (16435032).

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

9148968 is a wasteful number, since it uses less digits than its factorization.

9148968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4142 (or 4135 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 9148968 is about 3024.7261033026. The cubic root of 9148968 is about 209.1497595014.

The spelling of 9148968 in words is "nine million, one hundred forty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 4099 8198 12297 16396 24594 32792 36891 49188 73782 98376 127069 147564 254138 295128 381207 508276 762414 1016552 1143621 1524828 2287242 3049656 4574484 9148968