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9485920 = 255101587
BaseRepresentation
bin100100001011…
…111001100000
3122211221020101
4210023321200
54412022140
6535152144
7143425513
oct44137140
918757211
109485920
115399a04
123215654
131c71892
14138cd7a
15c7599a
hex90be60

9485920 has 48 divisors (see below), whose sum is σ = 22670928. Its totient is φ = 3750400.

The previous prime is 9485911. The next prime is 9485923. The reversal of 9485920 is 295849.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9485920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9485923) 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, 15867 + ... + 16453.

It is an arithmetic number, because the mean of its divisors is an integer number (472311).

Almost surely, 29485920 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 9485920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11335464).

9485920 is an abundant number, since it is smaller than the sum of its proper divisors (13185008).

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

9485920 is a wasteful number, since it uses less digits than its factorization.

9485920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 9485920 is about 3079.9220769364. The cubic root of 9485920 is about 211.6864952043.

The spelling of 9485920 in words is "nine million, four hundred eighty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 160 202 404 505 587 808 1010 1174 1616 2020 2348 2935 3232 4040 4696 5870 8080 9392 11740 16160 18784 23480 46960 59287 93920 118574 237148 296435 474296 592870 948592 1185740 1897184 2371480 4742960 9485920