Search a number
BaseRepresentation
bin10110110011101…
…100000100100000
3222200000120012200
4112303230010200
51240424223413
6101545253200
712324313416
oct2663540440
9880016180
10382648608
11186aa4621
12a8194200
13613778c4
1438b692b6
15238d7573
hex16cec120

382648608 has 144 divisors (see below), whose sum is σ = 1155301056. Its totient is φ = 119877120.

The previous prime is 382648579. The next prime is 382648627. The reversal of 382648608 is 806846283.

It is a happy number.

382648608 is a `hidden beast` number, since 38 + 2 + 6 + 4 + 8 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403591 + ... + 404537.

It is an arithmetic number, because the mean of its divisors is an integer number (8022924).

Almost surely, 2382648608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382648608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577650528).

382648608 is an abundant number, since it is smaller than the sum of its proper divisors (772652448).

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

382648608 is a wasteful number, since it uses less digits than its factorization.

382648608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 382648608 is about 19561.4060844306. The cubic root of 382648608 is about 725.9945813861.

The spelling of 382648608 in words is "three hundred eighty-two million, six hundred forty-eight thousand, six hundred eight".