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381590073 = 32137309481
BaseRepresentation
bin10110101111101…
…001101000111001
3222121000210011200
4112233221220321
51240141340243
6101510444413
712312314334
oct2657515071
9877023150
10381590073
111864412a7
12a7963709
1361096b57
143897161b
1523778ad3
hex16be9a39

381590073 has 12 divisors (see below), whose sum is σ = 555210708. Its totient is φ = 252535680.

The previous prime is 381590071. The next prime is 381590087. The reversal of 381590073 is 370095183.

It can be written as a sum of positive squares in 2 ways, for example, as 228523689 + 153066384 = 15117^2 + 12372^2 .

It is not a de Polignac number, because 381590073 - 21 = 381590071 is a prime.

It is a super-2 number, since 2×3815900732 = 291221967624290658, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (381590071) 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, 153508 + ... + 155973.

It is an arithmetic number, because the mean of its divisors is an integer number (46267559).

Almost surely, 2381590073 is an apocalyptic number.

It is an amenable number.

381590073 is a deficient number, since it is larger than the sum of its proper divisors (173620635).

381590073 is a wasteful number, since it uses less digits than its factorization.

381590073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309624 (or 309621 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 381590073 is about 19534.3306258495. The cubic root of 381590073 is about 725.3245145729.

The spelling of 381590073 in words is "three hundred eighty-one million, five hundred ninety thousand, seventy-three".

Divisors: 1 3 9 137 411 1233 309481 928443 2785329 42398897 127196691 381590073