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9242968 = 2372171973
BaseRepresentation
bin100011010000…
…100101011000
3122101120222011
4203100211120
54331233333
6530035304
7141364300
oct43204530
918346864
109242968
115243419
123118b34
131bb8117
141328600
15c289cd
hex8d0958

9242968 has 96 divisors (see below), whose sum is σ = 22777200. Its totient is φ = 3483648.

The previous prime is 9242957. The next prime is 9242971. The reversal of 9242968 is 8692429.

It is a self number, because there is not a number n which added to its sum of digits gives 9242968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126580 + ... + 126652.

Almost surely, 29242968 is an apocalyptic number.

9242968 is a gapful number since it is divisible by the number (98) 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 9242968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11388600).

9242968 is an abundant number, since it is smaller than the sum of its proper divisors (13534232).

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

9242968 is a wasteful number, since it uses less digits than its factorization.

9242968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 118 counting only the distinct ones).

The product of its digits is 62208, while the sum is 40.

The square root of 9242968 is about 3040.2249916741. The cubic root of 9242968 is about 209.8636151475.

The spelling of 9242968 in words is "nine million, two hundred forty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 49 56 68 73 76 98 119 133 136 146 152 196 238 266 292 323 392 476 511 532 584 646 833 931 952 1022 1064 1241 1292 1387 1666 1862 2044 2261 2482 2584 2774 3332 3577 3724 4088 4522 4964 5548 6664 7154 7448 8687 9044 9709 9928 11096 14308 15827 17374 18088 19418 23579 28616 31654 34748 38836 47158 60809 63308 67963 69496 77672 94316 121618 126616 135926 165053 188632 243236 271852 330106 486472 543704 660212 1155371 1320424 2310742 4621484 9242968