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387027920 = 2456179309
BaseRepresentation
bin10111000100011…
…001001111010000
3222222021001111102
4113010121033100
51243034343140
6102223203532
712406453166
oct2704311720
9888231442
10387027920
11189515894
12a97465a8
136224c006
1439589236
1523e9ee15
hex171193d0

387027920 has 40 divisors (see below), whose sum is σ = 914602920. Its totient is φ = 152271360.

The previous prime is 387027919. The next prime is 387027937. The reversal of 387027920 is 29720783.

It can be written as a sum of positive squares in 4 ways, for example, as 24049216 + 362978704 = 4904^2 + 19052^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3870279202 = 299581221719052800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34775 + ... + 44534.

It is an arithmetic number, because the mean of its divisors is an integer number (22865073).

Almost surely, 2387027920 is an apocalyptic number.

It is an amenable number.

387027920 is an abundant number, since it is smaller than the sum of its proper divisors (527575000).

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

387027920 is a wasteful number, since it uses less digits than its factorization.

387027920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79383 (or 79377 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 387027920 is about 19673.0251867881. The cubic root of 387027920 is about 728.7536875087.

The spelling of 387027920 in words is "three hundred eighty-seven million, twenty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 79309 158618 317236 396545 634472 793090 1268944 1586180 3172360 4837849 6344720 9675698 19351396 24189245 38702792 48378490 77405584 96756980 193513960 387027920