Search a number
-
+
7828704 = 2533131741
BaseRepresentation
bin11101110111010011100000
3112201201222000
4131313103200
54001004304
6435444000
7123354132
oct35672340
915651860
107828704
114467904
122756600
131811490
14107b052
15a49939
hex7774e0

7828704 has 192 divisors, whose sum is σ = 26671680. Its totient is φ = 2211840.

The previous prime is 7828699. The next prime is 7828729. The reversal of 7828704 is 4078287.

It is a super-2 number, since 2×78287042 = 122577212639232, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 190924 + ... + 190964.

It is an arithmetic number, because the mean of its divisors is an integer number (138915).

Almost surely, 27828704 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 7828704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13335840).

7828704 is an abundant number, since it is smaller than the sum of its proper divisors (18842976).

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

7828704 is a wasteful number, since it uses less digits than its factorization.

7828704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 7828704 is about 2797.9821300359. The cubic root of 7828704 is about 198.5622220747.

It can be divided in two parts, 78 and 28704, that added together give a palindrome (28782).

The spelling of 7828704 in words is "seven million, eight hundred twenty-eight thousand, seven hundred four".