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9924264 = 2332722997
BaseRepresentation
bin100101110110…
…111010101000
3200200012112100
4211312322220
510020034024
6552413400
7150232500
oct45667250
920605470
109924264
115669279
1233a7260
13209625c
141464a00
15d107c9
hex976ea8

9924264 has 144 divisors (see below), whose sum is σ = 32678100. Its totient is φ = 2709504.

The previous prime is 9924263. The next prime is 9924283. The reversal of 9924264 is 4624299.

It can be written as a sum of positive squares in 2 ways, for example, as 9922500 + 1764 = 3150^2 + 42^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (9924263) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 102264 + ... + 102360.

Almost surely, 29924264 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 9924264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16339050).

9924264 is an abundant number, since it is smaller than the sum of its proper divisors (22753836).

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

9924264 is a wasteful number, since it uses less digits than its factorization.

9924264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 138 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 9924264 is about 3150.2799875567. The cubic root of 9924264 is about 214.8981958985.

The spelling of 9924264 in words is "nine million, nine hundred twenty-four thousand, two hundred sixty-four".