Search a number
-
+
188612864 = 281126089
BaseRepresentation
bin10110011111000…
…00000100000000
3111010220112012122
423033200010000
5341241102424
630414343412
74450116506
oct1317400400
9433815178
10188612864
1197515700
12531bab68
13300cb25b
141b09a676
151185a45e
hexb3e0100

188612864 has 54 divisors (see below), whose sum is σ = 413894670. Its totient is φ = 85719040.

The previous prime is 188612863. The next prime is 188612869. The reversal of 188612864 is 468216881.

It can be written as a sum of positive squares in only one way, i.e., 139051264 + 49561600 = 11792^2 + 7040^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (188612863) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27932 + ... + 34020.

Almost surely, 2188612864 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 188612864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206947335).

188612864 is an abundant number, since it is smaller than the sum of its proper divisors (225281806).

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

188612864 is an equidigital number, since it uses as much as digits as its factorization.

188612864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6127 (or 6102 counting only the distinct ones).

The product of its digits is 147456, while the sum is 44.

The square root of 188612864 is about 13733.6398671292. The cubic root of 188612864 is about 573.4872539085.

The spelling of 188612864 in words is "one hundred eighty-eight million, six hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1936 2816 3872 6089 7744 12178 15488 24356 30976 48712 66979 97424 133958 194848 267916 389696 535832 736769 779392 1071664 1473538 1558784 2143328 2947076 4286656 5894152 8573312 11788304 17146624 23576608 47153216 94306432 188612864