Search a number
-
+
188352864 = 2534721483
BaseRepresentation
bin10110011101000…
…00100101100000
3111010102022120000
423032200211200
5341204242424
630405020000
74444654500
oct1316404540
9433368500
10188352864
1197358327
12530b4600
1330039acb
141b02da00
15118083c9
hexb3a0960

188352864 has 180 divisors, whose sum is σ = 644814324. Its totient is φ = 53778816.

The previous prime is 188352823. The next prime is 188352887. The reversal of 188352864 is 468253881.

It is a congruent 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 29 ways as a sum of consecutive naturals, for example, 126267 + ... + 127749.

Almost surely, 2188352864 is an apocalyptic number.

188352864 is a gapful number since it is divisible by the number (14) 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 188352864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322407162).

188352864 is an abundant number, since it is smaller than the sum of its proper divisors (456461460).

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

188352864 is a wasteful number, since it uses less digits than its factorization.

188352864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1495 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 188352864 is about 13724.1707946236. The cubic root of 188352864 is about 573.2236182102.

The spelling of 188352864 in words is "one hundred eighty-eight million, three hundred fifty-two thousand, eight hundred sixty-four".