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382948164 = 223210637449
BaseRepresentation
bin10110110100110…
…101001101000100
3222200120210010100
4112310311031010
51241013320124
6101555524100
712330001644
oct2664651504
9880523110
10382948164
11187189695
12a82b9630
1361451061
1438c06524
15239461c9
hex16d35344

382948164 has 18 divisors (see below), whose sum is σ = 968007950. Its totient is φ = 127649376.

The previous prime is 382948141. The next prime is 382948169. The reversal of 382948164 is 461849283.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 275825664 + 107122500 = 16608^2 + 10350^2 .

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

It is not an unprimeable number, because it can be changed into a prime (382948169) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5318689 + ... + 5318760.

Almost surely, 2382948164 is an apocalyptic number.

It is an amenable number.

382948164 is an abundant number, since it is smaller than the sum of its proper divisors (585059786).

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

382948164 is a wasteful number, since it uses less digits than its factorization.

382948164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10637459 (or 10637454 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 382948164 is about 19569.0613980334. The cubic root of 382948164 is about 726.1839799646.

The spelling of 382948164 in words is "three hundred eighty-two million, nine hundred forty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 10637449 21274898 31912347 42549796 63824694 95737041 127649388 191474082 382948164