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492189696 = 211352343
BaseRepresentation
bin11101010101100…
…011100000000000
31021022010211100000
4131111203200000
52002000032241
6120501200000
715124354245
oct3525434000
91238124300
10492189696
11232912449
12118a00000
137ac7c10b
14495215cc
152d323eb6
hex1d563800

492189696 has 288 divisors, whose sum is σ = 1574052480. Its totient is φ = 153280512.

The previous prime is 492189689. The next prime is 492189743. The reversal of 492189696 is 696981294.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

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 23 ways as a sum of consecutive naturals, for example, 11446251 + ... + 11446293.

It is an arithmetic number, because the mean of its divisors is an integer number (5465460).

Almost surely, 2492189696 is an apocalyptic number.

492189696 is a gapful number since it is divisible by the number (46) 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 492189696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787026240).

492189696 is an abundant number, since it is smaller than the sum of its proper divisors (1081862784).

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

492189696 is an equidigital number, since it uses as much as digits as its factorization.

492189696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 71 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 492189696 is about 22185.3486788015. The cubic root of 492189696 is about 789.5461239466.

The spelling of 492189696 in words is "four hundred ninety-two million, one hundred eighty-nine thousand, six hundred ninety-six".