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381828816 = 243598207
BaseRepresentation
bin10110110000100…
…011111011010000
3222121110220200000
4112300203323100
51240222010231
6101515530000
712314330355
oct2660437320
9877426600
10381828816
11186594706
12a7a59900
136114b715
14389d462c
15237c46e6
hex16c23ed0

381828816 has 60 divisors (see below), whose sum is σ = 1108179072. Its totient is φ = 127274976.

The previous prime is 381828803. The next prime is 381828817. The reversal of 381828816 is 618828183.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381828817) 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, 45216 + ... + 52991.

Almost surely, 2381828816 is an apocalyptic number.

381828816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

381828816 is an abundant number, since it is smaller than the sum of its proper divisors (726350256).

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

381828816 is an equidigital number, since it uses as much as digits as its factorization.

381828816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98230 (or 98212 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 381828816 is about 19540.4405272757. The cubic root of 381828816 is about 725.4757502063.

The spelling of 381828816 in words is "three hundred eighty-one million, eight hundred twenty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 98207 196414 294621 392828 589242 785656 883863 1178484 1571312 1767726 2356968 2651589 3535452 4713936 5303178 7070904 7954767 10606356 14141808 15909534 21212712 23864301 31819068 42425424 47728602 63638136 95457204 127276272 190914408 381828816