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268073028 = 22328578689
BaseRepresentation
bin11111111101001…
…11100001000100
3200200102112001200
433332213201010
51022111314103
642333422500
76433404006
oct1776474104
9620375050
10268073028
11128358263
127593aa30
13436cc9c2
1427862376
15188040a3
hexffa7844

268073028 has 36 divisors (see below), whose sum is σ = 678497820. Its totient is φ = 89243136.

The previous prime is 268073011. The next prime is 268073083. The reversal of 268073028 is 820370862.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 244859904 + 23213124 = 15648^2 + 4818^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 268072983 and 268073001.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26508 + ... + 35196.

Almost surely, 2268073028 is an apocalyptic number.

It is an amenable number.

268073028 is an abundant number, since it is smaller than the sum of its proper divisors (410424792).

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

268073028 is a wasteful number, since it uses less digits than its factorization.

268073028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9556 (or 9551 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 268073028 is about 16372.9358393661. The cubic root of 268073028 is about 644.7891288315.

The spelling of 268073028 in words is "two hundred sixty-eight million, seventy-three thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 857 1714 2571 3428 5142 7713 8689 10284 15426 17378 26067 30852 34756 52134 78201 104268 156402 312804 7446473 14892946 22339419 29785892 44678838 67018257 89357676 134036514 268073028