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9939672 = 23355113
BaseRepresentation
bin100101111010…
…101011011000
3200200222200000
4211322223120
510021032142
6553013000
7150325431
oct45725330
920628600
109939672
115679906
1233b4160
1320a0282
14146a488
15d1514c
hex97aad8

9939672 has 48 divisors (see below), whose sum is σ = 27922440. Its totient is φ = 3312576.

The previous prime is 9939667. The next prime is 9939707. The reversal of 9939672 is 2769399.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 613 + ... + 4500.

Almost surely, 29939672 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 9939672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13961220).

9939672 is an abundant number, since it is smaller than the sum of its proper divisors (17982768).

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

9939672 is a wasteful number, since it uses less digits than its factorization.

9939672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5134 (or 5118 counting only the distinct ones).

The product of its digits is 183708, while the sum is 45.

The square root of 9939672 is about 3152.7245360164. The cubic root of 9939672 is about 215.0093523965.

The spelling of 9939672 in words is "nine million, nine hundred thirty-nine thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 5113 10226 15339 20452 30678 40904 46017 61356 92034 122712 138051 184068 276102 368136 414153 552204 828306 1104408 1242459 1656612 2484918 3313224 4969836 9939672