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494932032 = 2634723593
BaseRepresentation
bin11101100000000…
…001000001000000
31021111022011010000
4131200001001000
52003200311112
6121040040000
715156565350
oct3540010100
91244264100
10494932032
11234415841
12119903000
137b6cc3ba
1449a36b60
152d6b67dc
hex1d801040

494932032 has 280 divisors, whose sum is σ = 1752575616. Its totient is φ = 135032832.

The previous prime is 494932027. The next prime is 494932037. The reversal of 494932032 is 230239494.

It is an interprime number because it is at equal distance from previous prime (494932027) and next prime (494932037).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (494932037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 834328 + ... + 834920.

Almost surely, 2494932032 is an apocalyptic number.

494932032 is a gapful number since it is divisible by the number (42) 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 494932032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876287808).

494932032 is an abundant number, since it is smaller than the sum of its proper divisors (1257643584).

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

494932032 is a wasteful number, since it uses less digits than its factorization.

494932032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 494932032 is about 22247.0679416412. The cubic root of 494932032 is about 791.0097817540.

The spelling of 494932032 in words is "four hundred ninety-four million, nine hundred thirty-two thousand, thirty-two".