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9942768 = 2432116277
BaseRepresentation
bin100101111011…
…011011110000
3200201010220200
4211323123300
510021132033
6553035200
7150340443
oct45733360
920633820
109942768
115681170
1233b5b00
1320a17c4
14146b65a
15d16013
hex97b6f0

9942768 has 60 divisors (see below), whose sum is σ = 30360408. Its totient is φ = 3012480.

The previous prime is 9942767. The next prime is 9942797. The reversal of 9942768 is 8672499.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9942763) 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, 1555 + ... + 4722.

Almost surely, 29942768 is an apocalyptic number.

It is an amenable number.

9942768 is an abundant number, since it is smaller than the sum of its proper divisors (20417640).

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

9942768 is a wasteful number, since it uses less digits than its factorization.

9942768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6302 (or 6293 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 9942768 is about 3153.2155016744. The cubic root of 9942768 is about 215.0316737183.

The spelling of 9942768 in words is "nine million, nine hundred forty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 6277 12554 18831 25108 37662 50216 56493 69047 75324 100432 112986 138094 150648 207141 225972 276188 301296 414282 451944 552376 621423 828564 903888 1104752 1242846 1657128 2485692 3314256 4971384 9942768