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382052772 = 223287712101
BaseRepresentation
bin10110110001011…
…010100110100100
3222121220021212200
4112301122212210
51240301142042
6101524414500
712316252323
oct2661324644
9877807780
10382052772
111867279a2
12a7b47430
13611c963a
1438a520ba
152381ac4c
hex16c5a9a4

382052772 has 36 divisors (see below), whose sum is σ = 966925596. Its totient is φ = 127195200.

The previous prime is 382052771. The next prime is 382052777. The reversal of 382052772 is 277250283.

It is a happy number.

382052772 is a `hidden beast` number, since 382 + 0 + 5 + 277 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 364962816 + 17089956 = 19104^2 + 4134^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (382052771) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25522 + ... + 37622.

Almost surely, 2382052772 is an apocalyptic number.

It is an amenable number.

382052772 is an abundant number, since it is smaller than the sum of its proper divisors (584872824).

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

382052772 is a wasteful number, since it uses less digits than its factorization.

382052772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12988 (or 12983 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 382052772 is about 19546.1702642743. The cubic root of 382052772 is about 725.6175614797.

The spelling of 382052772 in words is "three hundred eighty-two million, fifty-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 877 1754 2631 3508 5262 7893 10524 12101 15786 24202 31572 36303 48404 72606 108909 145212 217818 435636 10612577 21225154 31837731 42450308 63675462 95513193 127350924 191026386 382052772