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9923424 = 253714767
BaseRepresentation
bin100101110110…
…101101100000
3200200011101020
4211312231200
510020022144
6552405440
7150230160
oct45665540
920604336
109923424
115668685
1233a6880
132095a64
1414645a0
15d10419
hex976b60

9923424 has 48 divisors (see below), whose sum is σ = 29772288. Its totient is φ = 2835072.

The previous prime is 9923413. The next prime is 9923429. The reversal of 9923424 is 4243299.

9923424 = T105 + T106 + ... + T392.

9923424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9923429) 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, 6712 + ... + 8055.

It is an arithmetic number, because the mean of its divisors is an integer number (620256).

Almost surely, 29923424 is an apocalyptic number.

It is an amenable number.

9923424 is an abundant number, since it is smaller than the sum of its proper divisors (19848864).

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

9923424 is a wasteful number, since it uses less digits than its factorization.

9923424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14787 (or 14779 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 9923424 is about 3150.1466632524. The cubic root of 9923424 is about 214.8921326587.

The spelling of 9923424 in words is "nine million, nine hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 14767 29534 44301 59068 88602 103369 118136 177204 206738 236272 310107 354408 413476 472544 620214 708816 826952 1240428 1417632 1653904 2480856 3307808 4961712 9923424