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973990656 = 283617307
BaseRepresentation
bin111010000011011…
…110101100000000
32111212201212000000
4322003132230000
53443320200111
6240352000000
733064532622
oct7203365400
92455655000
10973990656
1145a879661
12232230000
13126a31742
14934dac12
155a794c56
hex3a0deb00

973990656 has 252 divisors, whose sum is σ = 3096451512. Its totient is φ = 304570368.

The previous prime is 973990651. The next prime is 973990663. The reversal of 973990656 is 656099379.

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

It is not an unprimeable number, because it can be changed into a prime (973990651) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 3172455 + ... + 3172761.

It is an arithmetic number, because the mean of its divisors is an integer number (12287506).

Almost surely, 2973990656 is an apocalyptic number.

973990656 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 973990656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548225756).

973990656 is an abundant number, since it is smaller than the sum of its proper divisors (2122460856).

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

973990656 is an equidigital number, since it uses as much as digits as its factorization.

973990656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The square root of 973990656 is about 31208.8233677593. The cubic root of 973990656 is about 991.2539482506.

The spelling of 973990656 in words is "nine hundred seventy-three million, nine hundred ninety thousand, six hundred fifty-six".