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264812028 = 223132516763
BaseRepresentation
bin11111100100010…
…11010111111100
3200110021211210220
433302023113330
51020242441103
642135501340
76363602505
oct1762132774
9613254726
10264812028
11126530218
1274827850
1342b2a610
1427253bac
15183acc53
hexfc8b5fc

264812028 has 48 divisors (see below), whose sum is σ = 668174976. Its totient is φ = 81144000.

The previous prime is 264812011. The next prime is 264812033. The reversal of 264812028 is 820218462.

It is a happy number.

264812028 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 264812028.

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, 35775 + ... + 42537.

It is an arithmetic number, because the mean of its divisors is an integer number (13920312).

Almost surely, 2264812028 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 264812028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334087488).

264812028 is an abundant number, since it is smaller than the sum of its proper divisors (403362948).

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

264812028 is a wasteful number, since it uses less digits than its factorization.

264812028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7034 (or 7032 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 264812028 is about 16273.0460578221. The cubic root of 264812028 is about 642.1639220012.

The spelling of 264812028 in words is "two hundred sixty-four million, eight hundred twelve thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 251 502 753 1004 1506 3012 3263 6526 6763 9789 13052 13526 19578 20289 27052 39156 40578 81156 87919 175838 263757 351676 527514 1055028 1697513 3395026 5092539 6790052 10185078 20370156 22067669 44135338 66203007 88270676 132406014 264812028