Search a number
-
+
188716992 = 2639710133
BaseRepresentation
bin10110011111110…
…01011111000000
3111011002211001020
423033321133000
5341302420432
630420505440
74451032212
oct1317713700
9434084036
10188716992
1197586962
125324b280
1330136779
141b0c65b2
151187b22c
hexb3f97c0

188716992 has 56 divisors (see below), whose sum is σ = 504511056. Its totient is φ = 62251008.

The previous prime is 188716963. The next prime is 188717003. The reversal of 188716992 is 299617881.

It is a super-2 number, since 2×1887169922 = 71228206139056128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13558 + ... + 23690.

It is an arithmetic number, because the mean of its divisors is an integer number (9009126).

Almost surely, 2188716992 is an apocalyptic number.

188716992 is a gapful number since it is divisible by the number (12) 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 188716992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252255528).

188716992 is an abundant number, since it is smaller than the sum of its proper divisors (315794064).

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

188716992 is a wasteful number, since it uses less digits than its factorization.

188716992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10245 (or 10235 counting only the distinct ones).

The product of its digits is 435456, while the sum is 51.

The square root of 188716992 is about 13737.4303273938. The cubic root of 188716992 is about 573.5927700323.

The spelling of 188716992 in words is "one hundred eighty-eight million, seven hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 192 194 291 388 582 776 1164 1552 2328 3104 4656 6208 9312 10133 18624 20266 30399 40532 60798 81064 121596 162128 243192 324256 486384 648512 972768 982901 1945536 1965802 2948703 3931604 5897406 7863208 11794812 15726416 23589624 31452832 47179248 62905664 94358496 188716992