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402050304 = 283523281
BaseRepresentation
bin10111111101101…
…100110100000000
31001000112021100000
4113331230310000
51310411102204
6103521200000
712651241215
oct2775546400
91030467300
10402050304
11196a46387
12b2790000
13653ab8b6
143b579b0c
152546b039
hex17f6cd00

402050304 has 216 divisors, whose sum is σ = 1258875072. Its totient is φ = 127733760.

The previous prime is 402050293. The next prime is 402050309. The reversal of 402050304 is 403050204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402050309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1430644 + ... + 1430924.

Almost surely, 2402050304 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 402050304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629437536).

402050304 is an abundant number, since it is smaller than the sum of its proper divisors (856824768).

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

402050304 is an equidigital number, since it uses as much as digits as its factorization.

402050304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 402050304 is about 20051.1920842627. The cubic root of 402050304 is about 738.0630523166.

The spelling of 402050304 in words is "four hundred two million, fifty thousand, three hundred four".