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9905292 = 2232275147
BaseRepresentation
bin100101110010…
…010010001100
3200122020111200
4211302102030
510013432132
6552145500
7150123255
oct45622214
920566450
109905292
115655aa1
123398290
13208a727
14145bb2c
15d09d7c
hex97248c

9905292 has 18 divisors (see below), whose sum is σ = 25038468. Its totient is φ = 3301752.

The previous prime is 9905267. The next prime is 9905293. The reversal of 9905292 is 2925099.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×99052922 = 196229619210528, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 275147 = 9905292 / (9 + 9 + 0 + 5 + 2 + 9 + 2).

It is not an unprimeable number, because it can be changed into a prime (9905293) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 137538 + ... + 137609.

It is an arithmetic number, because the mean of its divisors is an integer number (1391026).

Almost surely, 29905292 is an apocalyptic number.

It is an amenable number.

9905292 is an abundant number, since it is smaller than the sum of its proper divisors (15133176).

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

9905292 is a wasteful number, since it uses less digits than its factorization.

9905292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275157 (or 275152 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 9905292 is about 3147.2673861622. The cubic root of 9905292 is about 214.7611698065.

The spelling of 9905292 in words is "nine million, nine hundred five thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 275147 550294 825441 1100588 1650882 2476323 3301764 4952646 9905292