Search a number
-
+
526380048 = 243214924533
BaseRepresentation
bin11111010111111…
…110110000010000
31100200110212200100
4133113332300100
52034223130143
6124122052400
716021104465
oct3727766020
91320425610
10526380048
11250145137
1212834a100
13850904ac
144dca166c
15313296d3
hex1f5fec10

526380048 has 60 divisors (see below), whose sum is σ = 1483080300. Its totient is φ = 174275328.

The previous prime is 526379999. The next prime is 526380059. The reversal of 526380048 is 840083625.

It can be written as a sum of positive squares in 2 ways, for example, as 30338064 + 496041984 = 5508^2 + 22272^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 526379994 and 526380021.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9190 + ... + 33722.

It is an arithmetic number, because the mean of its divisors is an integer number (24718005).

Almost surely, 2526380048 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 526380048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741540150).

526380048 is an abundant number, since it is smaller than the sum of its proper divisors (956700252).

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

526380048 is a wasteful number, since it uses less digits than its factorization.

526380048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24696 (or 24687 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 526380048 is about 22942.9738264245. The cubic root of 526380048 is about 807.4205645421.

The spelling of 526380048 in words is "five hundred twenty-six million, three hundred eighty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 149 298 447 596 894 1192 1341 1788 2384 2682 3576 5364 7152 10728 21456 24533 49066 73599 98132 147198 196264 220797 294396 392528 441594 588792 883188 1177584 1766376 3532752 3655417 7310834 10966251 14621668 21932502 29243336 32898753 43865004 58486672 65797506 87730008 131595012 175460016 263190024 526380048