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468982336 = 2627072
BaseRepresentation
bin11011111101000…
…001101001000000
31012200110202211011
4123331001221000
51430024413321
6114311530304
714423166304
oct3375015100
91180422734
10468982336
11220801409
12111089994
1376214b54
14463ddd04
152b28cae1
hex1bf41a40

468982336 has 21 divisors (see below), whose sum is σ = 930980739. Its totient is φ = 234404544.

The previous prime is 468982333. The next prime is 468982387. The reversal of 468982336 is 633289864.

It is a happy number.

The square root of 468982336 is 21656.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 468982336.

It is not an unprimeable number, because it can be changed into a prime (468982333) 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 2 ways as a sum of consecutive naturals, for example, 171895 + ... + 174601.

Almost surely, 2468982336 is an apocalyptic number.

468982336 is the 21656-th square number.

It is an amenable number.

468982336 is a deficient number, since it is larger than the sum of its proper divisors (461998403).

468982336 is an frugal number, since it uses more digits than its factorization.

468982336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5426 (or 2709 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 49.

The cubic root of 468982336 is about 776.9364469739.

Multiplying 468982336 by its sum of digits (49), we get a square (22980134464 = 1515922).

It can be divided in two parts, 4689 and 82336, that added together give a square (87025 = 2952).

The spelling of 468982336 in words is "four hundred sixty-eight million, nine hundred eighty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 2707 5414 10828 21656 43312 86624 173248 7327849 14655698 29311396 58622792 117245584 234491168 468982336