Search a number
-
+
525061428 = 223191011512
BaseRepresentation
bin11111010010111…
…100110100110100
31100120222212212120
4133102330310310
52033403431203
6124033515540
716003643223
oct3722746464
91316885776
10525061428
1124a424471
12127a12bb0
1384a1b248
144da3acba
1531168b53
hex1f4bcd34

525061428 has 72 divisors (see below), whose sum is σ = 1311075360. Its totient is φ = 163080000.

The previous prime is 525061423. The next prime is 525061441. The reversal of 525061428 is 824160525.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525061423) 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, 3477153 + ... + 3477303.

It is an arithmetic number, because the mean of its divisors is an integer number (18209380).

Almost surely, 2525061428 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 525061428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655537680).

525061428 is an abundant number, since it is smaller than the sum of its proper divisors (786013932).

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

525061428 is a wasteful number, since it uses less digits than its factorization.

525061428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 525061428 is about 22914.2189044270. The cubic root of 525061428 is about 806.7457851804.

The spelling of 525061428 in words is "five hundred twenty-five million, sixty-one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 101 114 151 202 228 302 303 404 453 604 606 906 1212 1812 1919 2869 3838 5738 5757 7676 8607 11476 11514 15251 17214 22801 23028 30502 34428 45602 45753 61004 68403 91204 91506 136806 183012 273612 289769 433219 579538 866438 869307 1159076 1299657 1732876 1738614 2302901 2599314 3477228 4605802 5198628 6908703 9211604 13817406 27634812 43755119 87510238 131265357 175020476 262530714 525061428