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9268952 = 2371141367
BaseRepresentation
bin100011010110…
…111011011000
3122102220121112
4203112323120
54333101302
6530355452
7141533120
oct43267330
918386545
109268952
1152609a0
12312bb88
131bc6bb4
141333c80
15c31552
hex8d6ed8

9268952 has 64 divisors (see below), whose sum is σ = 22256640. Its totient is φ = 3513600.

The previous prime is 9268949. The next prime is 9268957. The reversal of 9268952 is 2598629.

It is a Harshad number since it is a multiple of its sum of digits (41).

Its product of digits (77760) is a multiple of the sum of its prime factors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9268957) 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 15 ways as a sum of consecutive naturals, for example, 25073 + ... + 25439.

It is an arithmetic number, because the mean of its divisors is an integer number (347760).

Almost surely, 29268952 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 9268952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11128320).

9268952 is an abundant number, since it is smaller than the sum of its proper divisors (12987688).

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

9268952 is a wasteful number, since it uses less digits than its factorization.

9268952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 428 counting only the distinct ones).

The product of its digits is 77760, while the sum is 41.

The square root of 9268952 is about 3044.4953604826. The cubic root of 9268952 is about 210.0600886249.

The spelling of 9268952 in words is "nine million, two hundred sixty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 22 28 41 44 56 77 82 88 154 164 287 308 328 367 451 574 616 734 902 1148 1468 1804 2296 2569 2936 3157 3608 4037 5138 6314 8074 10276 12628 15047 16148 20552 25256 28259 30094 32296 56518 60188 105329 113036 120376 165517 210658 226072 331034 421316 662068 842632 1158619 1324136 2317238 4634476 9268952