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387665856 = 26322292939
BaseRepresentation
bin10111000110110…
…100111111000000
31000000110110120200
4113012310333000
51243220301411
6102245005200
712415051104
oct2706647700
91000413520
10387665856
11189911106
12a99b3800
13624134a6
14396b3904
1524078e56
hex171b4fc0

387665856 has 84 divisors (see below), whose sum is σ = 1116406200. Its totient is φ = 128613888.

The previous prime is 387665821. The next prime is 387665867. The reversal of 387665856 is 658566783.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130435 + ... + 133373.

It is an arithmetic number, because the mean of its divisors is an integer number (13290550).

Almost surely, 2387665856 is an apocalyptic number.

387665856 is a gapful number since it is divisible by the number (36) 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 387665856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558203100).

387665856 is an abundant number, since it is smaller than the sum of its proper divisors (728740344).

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

387665856 is a wasteful number, since it uses less digits than its factorization.

387665856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3186 (or 3173 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 387665856 is about 19689.2319809585. The cubic root of 387665856 is about 729.1538679542.

It can be divided in two parts, 387665 and 856, that added together give a triangular number (388521 = T881).

The spelling of 387665856 in words is "three hundred eighty-seven million, six hundred sixty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 229 288 458 576 687 916 1374 1832 2061 2748 2939 3664 4122 5496 5878 7328 8244 8817 10992 11756 14656 16488 17634 21984 23512 26451 32976 35268 43968 47024 52902 65952 70536 94048 105804 131904 141072 188096 211608 282144 423216 564288 673031 846432 1346062 1692864 2019093 2692124 4038186 5384248 6057279 8076372 10768496 12114558 16152744 21536992 24229116 32305488 43073984 48458232 64610976 96916464 129221952 193832928 387665856