Search a number
-
+
382963848 = 233194319531
BaseRepresentation
bin10110110100111…
…001000010001000
3222200121120122020
4112310321002020
51241014320343
6102000124440
712330065451
oct2664710210
9880546566
10382963848
1118719a453
12a8306720
1361458237
1438c0c128
152394ab83
hex16d39088

382963848 has 64 divisors (see below), whose sum is σ = 1031289600. Its totient is φ = 118117440.

The previous prime is 382963843. The next prime is 382963859. The reversal of 382963848 is 848369283.

It is a super-2 number, since 2×3829638482 = 293322617749934208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 382963848.

It is not an unprimeable number, because it can be changed into a prime (382963843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9843 + ... + 29373.

It is an arithmetic number, because the mean of its divisors is an integer number (16113900).

Almost surely, 2382963848 is an apocalyptic number.

382963848 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382963848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515644800).

382963848 is an abundant number, since it is smaller than the sum of its proper divisors (648325752).

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

382963848 is a wasteful number, since it uses less digits than its factorization.

382963848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19602 (or 19598 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 51.

The square root of 382963848 is about 19569.4621285308. The cubic root of 382963848 is about 726.1938936771.

The spelling of 382963848 in words is "three hundred eighty-two million, nine hundred sixty-three thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 43 57 76 86 114 129 152 172 228 258 344 456 516 817 1032 1634 2451 3268 4902 6536 9804 19531 19608 39062 58593 78124 117186 156248 234372 371089 468744 742178 839833 1113267 1484356 1679666 2226534 2519499 2968712 3359332 4453068 5038998 6718664 8906136 10077996 15956827 20155992 31913654 47870481 63827308 95740962 127654616 191481924 382963848