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9916424 = 237241617
BaseRepresentation
bin100101110101…
…000000001000
3200122210202222
4211311000020
510014311144
6552313212
7150200600
oct45650010
920583688
109916424
1156633a1
1233a2808
13209280b
141461c00
15d0d2ee
hex975008

9916424 has 48 divisors (see below), whose sum is σ = 22192380. Its totient is φ = 4139520.

The previous prime is 9916411. The next prime is 9916433. The reversal of 9916424 is 4246199.

It can be written as a sum of positive squares in 2 ways, for example, as 6853924 + 3062500 = 2618^2 + 1750^2 .

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15764 + ... + 16380.

Almost surely, 29916424 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 9916424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11096190).

9916424 is an abundant number, since it is smaller than the sum of its proper divisors (12275956).

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

9916424 is a wasteful number, since it uses less digits than its factorization.

9916424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 667 counting only the distinct ones).

The product of its digits is 15552, while the sum is 35.

The square root of 9916424 is about 3149.0354078670. The cubic root of 9916424 is about 214.8415923490.

The spelling of 9916424 in words is "nine million, nine hundred sixteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 41 49 56 82 98 164 196 287 328 392 574 617 1148 1234 2009 2296 2468 4018 4319 4936 8036 8638 16072 17276 25297 30233 34552 50594 60466 101188 120932 177079 202376 241864 354158 708316 1239553 1416632 2479106 4958212 9916424