Search a number
-
+
389355072 = 26317911329
BaseRepresentation
bin10111001101010…
…001011001000000
31000010122021202020
4113031101121000
51244133330242
6102345121440
712435314661
oct2715213100
91003567666
10389355072
1118a865257
12aa489280
1362885322
14399d3368
15242ae6ec
hex17351640

389355072 has 56 divisors (see below), whose sum is σ = 1036015200. Its totient is φ = 129048576.

The previous prime is 389355059. The next prime is 389355077. The reversal of 389355072 is 270553983.

It is not an unprimeable number, because it can be changed into a prime (389355077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28704 + ... + 40032.

Almost surely, 2389355072 is an apocalyptic number.

389355072 is a gapful number since it is divisible by the number (32) 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 389355072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518007600).

389355072 is an abundant number, since it is smaller than the sum of its proper divisors (646660128).

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

389355072 is a wasteful number, since it uses less digits than its factorization.

389355072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11523 (or 11513 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 389355072 is about 19732.0823026867. The cubic root of 389355072 is about 730.2114055885.

The spelling of 389355072 in words is "three hundred eighty-nine million, three hundred fifty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 179 192 358 537 716 1074 1432 2148 2864 4296 5728 8592 11329 11456 17184 22658 33987 34368 45316 67974 90632 135948 181264 271896 362528 543792 725056 1087584 2027891 2175168 4055782 6083673 8111564 12167346 16223128 24334692 32446256 48669384 64892512 97338768 129785024 194677536 389355072