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378086856 = 23377330829
BaseRepresentation
bin10110100010010…
…010010111001000
3222100102210122220
4112202102113020
51233242234411
6101303414040
712240454020
oct2642222710
9870383586
10378086856
11184469284
12a6754320
136043b444
14382dca80
15232d5b06
hex168925c8

378086856 has 64 divisors (see below), whose sum is σ = 1095081600. Its totient is φ = 106541568.

The previous prime is 378086837. The next prime is 378086861. The reversal of 378086856 is 658680873.

It is a junction number, because it is equal to n+sod(n) for n = 378086799 and 378086808.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3151 + ... + 27678.

It is an arithmetic number, because the mean of its divisors is an integer number (17110650).

Almost surely, 2378086856 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 378086856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547540800).

378086856 is an abundant number, since it is smaller than the sum of its proper divisors (716994744).

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

378086856 is a wasteful number, since it uses less digits than its factorization.

378086856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30918 (or 30914 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 378086856 is about 19444.4556622190. The cubic root of 378086856 is about 723.0980547248.

The spelling of 378086856 in words is "three hundred seventy-eight million, eighty-six thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 219 292 438 511 584 876 1022 1533 1752 2044 3066 4088 6132 12264 30829 61658 92487 123316 184974 215803 246632 369948 431606 647409 739896 863212 1294818 1726424 2250517 2589636 4501034 5179272 6751551 9002068 13503102 15753619 18004136 27006204 31507238 47260857 54012408 63014476 94521714 126028952 189043428 378086856