Search a number
-
+
711828048 = 24323363647
BaseRepresentation
bin101010011011011…
…010001001010000
31211121102121111210
4222123122021100
52424211444143
6154344540120
723432303301
oct5233321120
91747377453
10711828048
11335898a48
1217a481640
13b4621039
146a7767a8
154275c033
hex2a6da250

711828048 has 40 divisors (see below), whose sum is σ = 1846810368. Its totient is φ = 236253952.

The previous prime is 711828041. The next prime is 711828053. The reversal of 711828048 is 840828117.

It is a happy number.

It is a super-3 number, since 3×7118280483 (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 711827997 and 711828015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (711828041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20640 + ... + 43007.

Almost surely, 2711828048 is an apocalyptic number.

It is an amenable number.

711828048 is an abundant number, since it is smaller than the sum of its proper divisors (1134982320).

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

711828048 is a wasteful number, since it uses less digits than its factorization.

711828048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63891 (or 63885 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 39.

The square root of 711828048 is about 26680.1058468665. The cubic root of 711828048 is about 892.8771292611.

The spelling of 711828048 in words is "seven hundred eleven million, eight hundred twenty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 233 466 699 932 1398 1864 2796 3728 5592 11184 63647 127294 190941 254588 381882 509176 763764 1018352 1527528 3055056 14829751 29659502 44489253 59319004 88978506 118638008 177957012 237276016 355914024 711828048