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382902121 = 7228127809
BaseRepresentation
bin10110110100101…
…001111101101001
3222200111102222001
4112310221331221
51241010331441
6101554531001
712326420500
oct2664517551
9880442861
10382902121
11187158038
12a8296a61
1361436104
1438bd3837
1523937731
hex16d29f69

382902121 has 12 divisors (see below), whose sum is σ = 447017940. Its totient is φ = 327022080.

The previous prime is 382902089. The next prime is 382902131. The reversal of 382902121 is 121209283.

It can be written as a sum of positive squares in 2 ways, for example, as 264875625 + 118026496 = 16275^2 + 10864^2 .

It is not a de Polignac number, because 382902121 - 25 = 382902089 is a prime.

It is a super-2 number, since 2×3829021212 = 293228068532597282, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 382902121.

It is not an unprimeable number, because it can be changed into a prime (382902131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136 + ... + 27673.

It is an arithmetic number, because the mean of its divisors is an integer number (37251495).

Almost surely, 2382902121 is an apocalyptic number.

It is an amenable number.

382902121 is a deficient number, since it is larger than the sum of its proper divisors (64115819).

382902121 is a wasteful number, since it uses less digits than its factorization.

382902121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28104 (or 28097 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 382902121 is about 19567.8849393592. The cubic root of 382902121 is about 726.1548750428.

The spelling of 382902121 in words is "three hundred eighty-two million, nine hundred two thousand, one hundred twenty-one".

Divisors: 1 7 49 281 1967 13769 27809 194663 1362641 7814329 54700303 382902121