Search a number
-
+
500088132 = 223219787929
BaseRepresentation
bin11101110011101…
…011110101000100
31021212000002221200
4131303223311010
52011010310012
6121342342500
715251451615
oct3563536504
91255002850
10500088132
11237317685
1211b58aa30
137c7b624b
144a5b9c0c
152dd843dc
hex1dcebd44

500088132 has 72 divisors (see below), whose sum is σ = 1333768800. Its totient is φ = 157552128.

The previous prime is 500088119. The next prime is 500088137. The reversal of 500088132 is 231880005.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 500088096 and 500088105.

It is not an unprimeable number, because it can be changed into a prime (500088137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 537844 + ... + 538772.

Almost surely, 2500088132 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 500088132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666884400).

500088132 is an abundant number, since it is smaller than the sum of its proper divisors (833680668).

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

500088132 is a wasteful number, since it uses less digits than its factorization.

500088132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 500088132 is about 22362.6503795950. The cubic root of 500088132 is about 793.7471568543.

The spelling of 500088132 in words is "five hundred million, eighty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 787 929 1574 1858 2361 2787 3148 3716 4722 5574 7083 8361 9444 11148 14166 14953 16722 17651 28332 29906 33444 35302 44859 52953 59812 70604 89718 105906 134577 158859 179436 211812 269154 317718 538308 635436 731123 1462246 2193369 2924492 4386738 6580107 8773476 13160214 13891337 26320428 27782674 41674011 55565348 83348022 125022033 166696044 250044066 500088132