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388121916 = 2237131392557
BaseRepresentation
bin10111001000100…
…100010100111100
31000001022122011210
4113020210110330
51243324400131
6102302444420
712421660530
oct2710442474
91001278153
10388121916
1118a0a2816
12a9b93710
1362542c50
1439791bc0
1524119146
hex1722453c

388121916 has 96 divisors (see below), whose sum is σ = 1123064320. Its totient is φ = 101585664.

The previous prime is 388121869. The next prime is 388121927. The reversal of 388121916 is 619121883.

It is a super-2 number, since 2×3881219162 = 301277243359022112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 150510 + ... + 153066.

Almost surely, 2388121916 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 388121916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561532160).

388121916 is an abundant number, since it is smaller than the sum of its proper divisors (734942404).

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

388121916 is a wasteful number, since it uses less digits than its factorization.

388121916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723 (or 2721 counting only the distinct ones).

The product of its digits is 20736, while the sum is 39.

The square root of 388121916 is about 19700.8100341077. The cubic root of 388121916 is about 729.4396876372.

The spelling of 388121916 in words is "three hundred eighty-eight million, one hundred twenty-one thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 139 156 182 273 278 364 417 546 556 834 973 1092 1668 1807 1946 2557 2919 3614 3892 5114 5421 5838 7228 7671 10228 10842 11676 12649 15342 17899 21684 25298 30684 33241 35798 37947 50596 53697 66482 71596 75894 99723 107394 132964 151788 199446 214788 232687 355423 398892 465374 698061 710846 930748 1066269 1396122 1421692 2132538 2487961 2792244 4265076 4620499 4975922 7463883 9240998 9951844 13861497 14927766 18481996 27722994 29855532 32343493 55445988 64686986 97030479 129373972 194060958 388121916