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974509056 = 2103431379
BaseRepresentation
bin111010000101011…
…101010000000000
32111220201012010000
4322011131100000
53443433242211
6240411040000
733102122163
oct7205352000
92456635100
10974509056
114600a3094
12232440000
13126b836a1
14935d3ada
155a848656
hex3a15d400

974509056 has 220 divisors, whose sum is σ = 3011873920. Its totient is φ = 313528320.

The previous prime is 974509049. The next prime is 974509061. The reversal of 974509056 is 650905479.

It is a happy number.

974509056 is a `hidden beast` number, since 97 + 4 + 509 + 0 + 56 = 666.

It is a super-2 number, since 2×9745090562 = 1899335800452022272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2571075 + ... + 2571453.

It is an arithmetic number, because the mean of its divisors is an integer number (13690336).

Almost surely, 2974509056 is an apocalyptic number.

974509056 is a gapful number since it is divisible by the number (96) 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 974509056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505936960).

974509056 is an abundant number, since it is smaller than the sum of its proper divisors (2037364864).

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

974509056 is a wasteful number, since it uses less digits than its factorization.

974509056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 974509056 is about 31217.1276064919. The cubic root of 974509056 is about 991.4297798164.

The spelling of 974509056 in words is "nine hundred seventy-four million, five hundred nine thousand, fifty-six".