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381595050 = 2365219229
BaseRepresentation
bin10110101111101…
…010110110101010
3222121001001000000
4112233222312222
51240142020200
6101510523430
712312335004
oct2657526652
9877031000
10381595050
11186445011
12a7966576
13610991b5
1438973374
152377a300
hex16beadaa

381595050 has 252 divisors, whose sum is σ = 1161848070. Its totient is φ = 93078720.

The previous prime is 381595033. The next prime is 381595057. The reversal of 381595050 is 50595183.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 286591041 + 95004009 = 16929^2 + 9747^2 .

It is a super-2 number, since 2×3815950502 = 291229564369005000, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 381594996 and 381595014.

It is not an unprimeable number, because it can be changed into a prime (381595057) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 13158436 + ... + 13158464.

Almost surely, 2381595050 is an apocalyptic number.

381595050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 381595050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580924035).

381595050 is an abundant number, since it is smaller than the sum of its proper divisors (780253020).

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

381595050 is a wasteful number, since it uses less digits than its factorization.

381595050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 381595050 is about 19534.4580165409. The cubic root of 381595050 is about 725.3276679782.

The spelling of 381595050 in words is "three hundred eighty-one million, five hundred ninety-five thousand, fifty".