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9972456 = 2331331963
BaseRepresentation
bin100110000010…
…101011101000
3200202122122020
4212002223220
510023104311
6553424440
7150523134
oct46025350
920678566
109972456
1156a14aa
12340b120
1320b2180
1414783c4
15d1ec06
hex982ae8

9972456 has 32 divisors (see below), whose sum is σ = 26849760. Its totient is φ = 3068352.

The previous prime is 9972451. The next prime is 9972497. The reversal of 9972456 is 6542799.

It is a d-powerful number, because it can be written as 9 + 93 + 78 + 213 + 411 + 55 + 64 .

It is not an unprimeable number, because it can be changed into a prime (9972451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15670 + ... + 16293.

It is an arithmetic number, because the mean of its divisors is an integer number (839055).

Almost surely, 29972456 is an apocalyptic number.

It is an amenable number.

9972456 is an abundant number, since it is smaller than the sum of its proper divisors (16877304).

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

9972456 is a wasteful number, since it uses less digits than its factorization.

9972456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31985 (or 31981 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 9972456 is about 3157.9195683234. The cubic root of 9972456 is about 215.2454812823.

The spelling of 9972456 in words is "nine million, nine hundred seventy-two thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 31963 63926 95889 127852 191778 255704 383556 415519 767112 831038 1246557 1662076 2493114 3324152 4986228 9972456