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904572864 = 2632131071129
BaseRepresentation
bin110101111010101…
…010111111000000
32100001010001200200
4311322222333000
53323032312424
6225432045200
731262512446
oct6572527700
92301101620
10904572864
11424675a88
12212b33800
13115537c20
14881cab96
15546318c9
hex35eaafc0

904572864 has 168 divisors, whose sum is σ = 2820832560. Its totient is φ = 275484672.

The previous prime is 904572859. The next prime is 904572869. The reversal of 904572864 is 468275409.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (904572859) and next prime (904572869).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (904572869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 800652 + ... + 801780.

It is an arithmetic number, because the mean of its divisors is an integer number (16790670).

Almost surely, 2904572864 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 904572864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410416280).

904572864 is an abundant number, since it is smaller than the sum of its proper divisors (1916259696).

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

904572864 is a wasteful number, since it uses less digits than its factorization.

904572864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 904572864 is about 30076.1178345876. The cubic root of 904572864 is about 967.1218272421.

The spelling of 904572864 in words is "nine hundred four million, five hundred seventy-two thousand, eight hundred sixty-four".