Search a number
-
+
152187872 = 25192310883
BaseRepresentation
bin10010001001000…
…11001111100000
3101121100221111212
421010203033200
5302430002442
623033525252
73525401264
oct1104431740
9347327455
10152187872
11789a7001
1242b73828
13256b69c5
14162d80a4
15d562a82
hex91233e0

152187872 has 48 divisors (see below), whose sum is σ = 329132160. Its totient is φ = 68948352.

The previous prime is 152187823. The next prime is 152187881. The reversal of 152187872 is 278781251.

It is a super-2 number, since 2×1521878722 = 46322296767776768, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 8543 + ... + 19425.

It is an arithmetic number, because the mean of its divisors is an integer number (6856920).

Almost surely, 2152187872 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 152187872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164566080).

152187872 is an abundant number, since it is smaller than the sum of its proper divisors (176944288).

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

152187872 is a wasteful number, since it uses less digits than its factorization.

152187872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10935 (or 10927 counting only the distinct ones).

The product of its digits is 62720, while the sum is 41.

The square root of 152187872 is about 12336.4448687618. Note that the first 3 decimals coincide. The cubic root of 152187872 is about 533.9001155134.

The spelling of 152187872 in words is "one hundred fifty-two million, one hundred eighty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 19 23 32 38 46 76 92 152 184 304 368 437 608 736 874 1748 3496 6992 10883 13984 21766 43532 87064 174128 206777 250309 348256 413554 500618 827108 1001236 1654216 2002472 3308432 4004944 4755871 6616864 8009888 9511742 19023484 38046968 76093936 152187872