Search a number
-
+
382238020 = 22527976833
BaseRepresentation
bin10110110010000…
…111110101000100
3222122020200222201
4112302013311010
51240323104040
6101532404244
712320653363
oct2662076504
9878220881
10382238020
1118684409a
12a8016684
1361262a58
1438a9d7da
1523855a9a
hex16c87d44

382238020 has 24 divisors (see below), whose sum is σ = 803104344. Its totient is φ = 152818176.

The previous prime is 382238011. The next prime is 382238033. The reversal of 382238020 is 20832283.

It can be written as a sum of positive squares in 4 ways, for example, as 20629764 + 361608256 = 4542^2 + 19016^2 .

It is a super-2 number, since 2×3822380202 = 292211807867040800, 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 382238020.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52524 + ... + 59356.

It is an arithmetic number, because the mean of its divisors is an integer number (33462681).

Almost surely, 2382238020 is an apocalyptic number.

It is an amenable number.

382238020 is an abundant number, since it is smaller than the sum of its proper divisors (420866324).

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

382238020 is a wasteful number, since it uses less digits than its factorization.

382238020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9639 (or 9637 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 382238020 is about 19550.9084187922. The cubic root of 382238020 is about 725.7348205707.

The spelling of 382238020 in words is "three hundred eighty-two million, two hundred thirty-eight thousand, twenty".

Divisors: 1 2 4 5 10 20 2797 5594 6833 11188 13666 13985 27332 27970 34165 55940 68330 136660 19111901 38223802 76447604 95559505 191119010 382238020