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9946672 = 2423151179
BaseRepresentation
bin100101111100…
…011000110000
3200201100021021
4211330120300
510021243142
6553105224
7150355021
oct45743060
920640237
109946672
11568409a
1233b8214
1320a3508
14146cc48
15d17267
hex97c630

9946672 has 40 divisors (see below), whose sum is σ = 20355840. Its totient is φ = 4699200.

The previous prime is 9946661. The next prime is 9946733. The reversal of 9946672 is 2766499.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55479 + ... + 55657.

It is an arithmetic number, because the mean of its divisors is an integer number (508896).

Almost surely, 29946672 is an apocalyptic number.

9946672 is a gapful number since it is divisible by the number (92) 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 9946672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10177920).

9946672 is an abundant number, since it is smaller than the sum of its proper divisors (10409168).

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

9946672 is a wasteful number, since it uses less digits than its factorization.

9946672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 355 counting only the distinct ones).

The product of its digits is 163296, while the sum is 43.

The square root of 9946672 is about 3153.8344915357. The cubic root of 9946672 is about 215.0598138970.

The spelling of 9946672 in words is "nine million, nine hundred forty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 23 46 92 151 179 184 302 358 368 604 716 1208 1432 2416 2864 3473 4117 6946 8234 13892 16468 27029 27784 32936 54058 55568 65872 108116 216232 432464 621667 1243334 2486668 4973336 9946672