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494082432 = 2732617989
BaseRepresentation
bin11101011100110…
…001100110000000
31021102200222200100
4131130301212000
52002441114212
6121005522400
715146426364
oct3534614600
91242628610
10494082432
11233995498
12119573400
137b49278c
14498952a4
152d599bdc
hex1d731980

494082432 has 192 divisors, whose sum is σ = 1479816000. Its totient is φ = 158146560.

The previous prime is 494082409. The next prime is 494082437. The reversal of 494082432 is 234280494.

494082432 is a `hidden beast` number, since 4 + 9 + 408 + 243 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×4940824322 = 488234899222069248, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494082437) 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 23 ways as a sum of consecutive naturals, for example, 5551444 + ... + 5551532.

It is an arithmetic number, because the mean of its divisors is an integer number (7707375).

Almost surely, 2494082432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494082432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739908000).

494082432 is an abundant number, since it is smaller than the sum of its proper divisors (985733568).

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

494082432 is a wasteful number, since it uses less digits than its factorization.

494082432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 494082432 is about 22227.9650890494. The cubic root of 494082432 is about 790.5569068968.

The spelling of 494082432 in words is "four hundred ninety-four million, eighty-two thousand, four hundred thirty-two".