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576382268 = 227113475393
BaseRepresentation
bin100010010110101…
…110010100111100
31111011120020211102
4202112232110330
52140023213033
6133105512232
720166111530
oct4226562474
91434506742
10576382268
11276397590
12141042678
13925498c7
1456799bc0
1535904de8
hex225ae53c

576382268 has 48 divisors (see below), whose sum is σ = 1261419264. Its totient is φ = 223875840.

The previous prime is 576382253. The next prime is 576382333. The reversal of 576382268 is 862283675.

It is a happy number.

576382268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

Its product of digits (967680) is a multiple of the sum of its prime divisors (5760).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104180 + ... + 109572.

It is an arithmetic number, because the mean of its divisors is an integer number (26279568).

Almost surely, 2576382268 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 576382268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630709632).

576382268 is an abundant number, since it is smaller than the sum of its proper divisors (685036996).

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

576382268 is a wasteful number, since it uses less digits than its factorization.

576382268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5762 (or 5760 counting only the distinct ones).

The product of its digits is 967680, while the sum is 47.

The square root of 576382268 is about 24007.9625957723. The cubic root of 576382268 is about 832.2175508978.

The spelling of 576382268 in words is "five hundred seventy-six million, three hundred eighty-two thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 347 694 1388 2429 3817 4858 5393 7634 9716 10786 15268 21572 26719 37751 53438 59323 75502 106876 118646 151004 237292 415261 830522 1661044 1871371 3742742 7485484 13099597 20585081 26199194 41170162 52398388 82340324 144095567 288191134 576382268