Search a number
-
+
904423968 = 2534727121
BaseRepresentation
bin110101111010000…
…110101000100000
32100000211111110000
4311322012220200
53323013031333
6225424540000
731261322400
oct6572065040
92300744400
10904423968
11424584128
12212a81600
131154b5216
148818c800
1554602713
hex35e86a20

904423968 has 180 divisors, whose sum is σ = 3094587342. Its totient is φ = 258370560.

The previous prime is 904423951. The next prime is 904423973. The reversal of 904423968 is 869324409.

It can be written as a sum of positive squares in only one way, i.e., 899280144 + 5143824 = 29988^2 + 2268^2 .

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 123448 + ... + 130568.

Almost surely, 2904423968 is an apocalyptic number.

904423968 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 904423968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547293671).

904423968 is an abundant number, since it is smaller than the sum of its proper divisors (2190163374).

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

904423968 is a wasteful number, since it uses less digits than its factorization.

904423968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7157 (or 7133 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 904423968 is about 30073.6424132495. The cubic root of 904423968 is about 967.0687604010.

The spelling of 904423968 in words is "nine hundred four million, four hundred twenty-three thousand, nine hundred sixty-eight".