Search a number
-
+
528430692 = 2232910913931
BaseRepresentation
bin11111011111110…
…011011001100100
31100211100001122010
4133133303121210
52040234240232
6124234034220
716044405156
oct3737633144
91324301563
10528430692
11251315889
12128b78970
138562a9aa
1450276ad6
15315d20cc
hex1f7f3664

528430692 has 48 divisors (see below), whose sum is σ = 1287316800. Its totient is φ = 168497280.

The previous prime is 528430627. The next prime is 528430699. The reversal of 528430692 is 296034825.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 528430692.

It is not an unprimeable number, because it can be changed into a prime (528430699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30967 + ... + 44897.

It is an arithmetic number, because the mean of its divisors is an integer number (26819100).

Almost surely, 2528430692 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 528430692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643658400).

528430692 is an abundant number, since it is smaller than the sum of its proper divisors (758886108).

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

528430692 is a wasteful number, since it uses less digits than its factorization.

528430692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14076 (or 14074 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 528430692 is about 22987.6204075150. The cubic root of 528430692 is about 808.4677082543.

The spelling of 528430692 in words is "five hundred twenty-eight million, four hundred thirty thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 12 29 58 87 109 116 174 218 327 348 436 654 1308 3161 6322 9483 12644 13931 18966 27862 37932 41793 55724 83586 167172 403999 807998 1211997 1518479 1615996 2423994 3036958 4555437 4847988 6073916 9110874 18221748 44035891 88071782 132107673 176143564 264215346 528430692