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415002996 = 223211527861
BaseRepresentation
bin11000101111000…
…111000101110100
31001220220100002100
4120233013011310
51322220043441
6105102542100
713166316162
oct3057070564
91056810070
10415002996
111a3292991
12b6b97930
1367c95405
143d18c232
1526678cb6
hex18bc7174

415002996 has 18 divisors (see below), whose sum is σ = 1049035442. Its totient is φ = 138334320.

The previous prime is 415002977. The next prime is 415003033. The reversal of 415002996 is 699200514.

415002996 is a `hidden beast` number, since 41 + 500 + 29 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 330730596 + 84272400 = 18186^2 + 9180^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11527861 = 415002996 / (4 + 1 + 5 + 0 + 0 + 2 + 9 + 9 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 415002996.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5763895 + ... + 5763966.

Almost surely, 2415002996 is an apocalyptic number.

It is an amenable number.

415002996 is an abundant number, since it is smaller than the sum of its proper divisors (634032446).

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

415002996 is a wasteful number, since it uses less digits than its factorization.

415002996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11527871 (or 11527866 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 415002996 is about 20371.6223212586. The cubic root of 415002996 is about 745.9053875464.

The spelling of 415002996 in words is "four hundred fifteen million, two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 11527861 23055722 34583583 46111444 69167166 103750749 138334332 207501498 415002996