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188428864 = 2613376121
BaseRepresentation
bin10110011101100…
…11001001000000
3111010120011210211
423032303021000
5341214210424
630410403504
74445422201
oct1316631100
9433504724
10188428864
11973aa438
1253130594
1330065590
141b04d5a8
1511820b94
hexb3b3240

188428864 has 56 divisors (see below), whose sum is σ = 413626808. Its totient is φ = 84602880.

The previous prime is 188428861. The next prime is 188428873. The reversal of 188428864 is 468824881.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7795264 + 180633600 = 2792^2 + 13440^2 .

It is not an unprimeable number, because it can be changed into a prime (188428861) 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, 27724 + ... + 33844.

It is an arithmetic number, because the mean of its divisors is an integer number (7386193).

Almost surely, 2188428864 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 188428864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206813404).

188428864 is an abundant number, since it is smaller than the sum of its proper divisors (225197944).

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

188428864 is a wasteful number, since it uses less digits than its factorization.

188428864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6183 (or 6173 counting only the distinct ones).

The product of its digits is 786432, while the sum is 49.

The square root of 188428864 is about 13726.9393529658. The cubic root of 188428864 is about 573.3007060334.

The spelling of 188428864 in words is "one hundred eighty-eight million, four hundred twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 148 208 296 416 481 592 832 962 1184 1924 2368 3848 6121 7696 12242 15392 24484 30784 48968 79573 97936 159146 195872 226477 318292 391744 452954 636584 905908 1273168 1811816 2546336 2944201 3623632 5092672 5888402 7247264 11776804 14494528 23553608 47107216 94214432 188428864