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8925396480 = 293457111343
BaseRepresentation
bin10000100111111111…
…01011111000000000
3212001000201010020000
420103333223320000
5121234400141410
64033354120000
7434115422040
oct102377537000
925030633200
108925396480
113870176530
121891120000
13ac318c2c0
14609555720
15373891dc0
hex213febe00

8925396480 has 1600 divisors, whose sum is σ = 43920188928. Its totient is φ = 1672151040.

The previous prime is 8925396421. The next prime is 8925396499. The reversal of 8925396480 is 846935298.

8925396480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 207567339 + ... + 207567381.

Almost surely, 28925396480 is an apocalyptic number.

8925396480 is a gapful number since it is divisible by the number (80) 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 8925396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21960094464).

8925396480 is an abundant number, since it is smaller than the sum of its proper divisors (34994792448).

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

8925396480 is a wasteful number, since it uses less digits than its factorization.

8925396480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 8925396480 is about 94474.3165098324. The cubic root of 8925396480 is about 2074.3204029833.

The spelling of 8925396480 in words is "eight billion, nine hundred twenty-five million, three hundred ninety-six thousand, four hundred eighty".