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388090000 = 24541972
BaseRepresentation
bin10111001000011…
…100100010010000
31000001021000101201
4113020130202100
51243322340000
6102302040544
712421465504
oct2710344220
91001230351
10388090000
1118a080841
12a9b79154
136253156c
1439784304
152410e96a
hex1721c890

388090000 has 75 divisors (see below), whose sum is σ = 944398477. Its totient is φ = 154448000.

The previous prime is 388089983. The next prime is 388090013. The reversal of 388090000 is 90883.

The square root of 388090000 is 19700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 66389904 + 321700096 = 8148^2 + 17936^2 .

It is a super-2 number, since 2×3880900002 = 301227696200000000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1969902 + ... + 1970098.

Almost surely, 2388090000 is an apocalyptic number.

388090000 is the 19700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388090000

388090000 is an abundant number, since it is smaller than the sum of its proper divisors (556308477).

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

388090000 is an frugal number, since it uses more digits than its factorization.

388090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The cubic root of 388090000 is about 729.4196926869.

The spelling of 388090000 in words is "three hundred eighty-eight million, ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 197 200 250 394 400 500 625 788 985 1000 1250 1576 1970 2000 2500 3152 3940 4925 5000 7880 9850 10000 15760 19700 24625 38809 39400 49250 77618 78800 98500 123125 155236 194045 197000 246250 310472 388090 394000 492500 620944 776180 970225 985000 1552360 1940450 1970000 3104720 3880900 4851125 7761800 9702250 15523600 19404500 24255625 38809000 48511250 77618000 97022500 194045000 388090000