Search a number
-
+
526284990 = 2325721119571
BaseRepresentation
bin11111010111100…
…111100010111110
31100200022001021200
4133113213202332
52034212104430
6124120040330
716020230400
oct3727474276
91320261250
10526284990
1125008a780
121283030a6
138505914a
144dc78b70
153130b460
hex1f5e78be

526284990 has 288 divisors, whose sum is σ = 1831040640. Its totient is φ = 103420800.

The previous prime is 526284977. The next prime is 526285021. The reversal of 526284990 is 99482625.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 921405 + ... + 921975.

It is an arithmetic number, because the mean of its divisors is an integer number (6357780).

Almost surely, 2526284990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 526284990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915520320).

526284990 is an abundant number, since it is smaller than the sum of its proper divisors (1304755650).

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

526284990 is a wasteful number, since it uses less digits than its factorization.

526284990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 526284990 is about 22940.9021182690. The cubic root of 526284990 is about 807.3719580869.

The spelling of 526284990 in words is "five hundred twenty-six million, two hundred eighty-four thousand, nine hundred ninety".