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378808815 = 357111572089
BaseRepresentation
bin10110100101000…
…010100111101111
3222101210111000010
4112211002213233
51233433340230
6101331104303
712246551610
oct2645024757
9871714003
10378808815
11184911740
12a6a42093
1360631c38
1438449c07
15233c99b0
hex169429ef

378808815 has 64 divisors (see below), whose sum is σ = 760826880. Its totient is φ = 156349440.

The previous prime is 378808813. The next prime is 378808819. The reversal of 378808815 is 518808873.

It is not a de Polignac number, because 378808815 - 21 = 378808813 is a prime.

It is a super-2 number, since 2×3788088152 = 286992236643408450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378808813) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 180291 + ... + 182379.

It is an arithmetic number, because the mean of its divisors is an integer number (11887920).

Almost surely, 2378808815 is an apocalyptic number.

378808815 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

378808815 is an abundant number, since it is smaller than the sum of its proper divisors (382018065).

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

378808815 is a wasteful number, since it uses less digits than its factorization.

378808815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272.

The product of its (nonzero) digits is 430080, while the sum is 48.

The square root of 378808815 is about 19463.0114576342. The cubic root of 378808815 is about 723.5580153646.

The spelling of 378808815 in words is "three hundred seventy-eight million, eight hundred eight thousand, eight hundred fifteen".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 157 165 231 385 471 785 1099 1155 1727 2089 2355 3297 5181 5495 6267 8635 10445 12089 14623 16485 22979 25905 31335 36267 43869 60445 68937 73115 114895 160853 181335 219345 327973 344685 482559 804265 983919 1639865 2295811 2412795 3607703 4919595 6887433 10823109 11479055 18038515 25253921 34437165 54115545 75761763 126269605 378808815