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7864328 = 2319311669
BaseRepresentation
bin11110000000000000001000
3112210112211102
4132000000020
54003124303
6440320532
7123563033
oct36000010
915715742
107864328
11449164a
122773148
131824764
14108a01a
15a55288
hex780008

7864328 has 32 divisors (see below), whose sum is σ = 16032000. Its totient is φ = 3602880.

The previous prime is 7864301. The next prime is 7864331. The reversal of 7864328 is 8234687.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a d-powerful number, because it can be written as 78 + 8 + 62 + 42 + 37 + 27 + 87 .

It is a junction number, because it is equal to n+sod(n) for n = 7864291 and 7864300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3878 + ... + 5546.

It is an arithmetic number, because the mean of its divisors is an integer number (501000).

Almost surely, 27864328 is an apocalyptic number.

It is an amenable number.

7864328 is an abundant number, since it is smaller than the sum of its proper divisors (8167672).

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

7864328 is a wasteful number, since it uses less digits than its factorization.

7864328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725 (or 1721 counting only the distinct ones).

The product of its digits is 64512, while the sum is 38.

The square root of 7864328 is about 2804.3409207869. The cubic root of 7864328 is about 198.8629478123.

It can be divided in two parts, 7864 and 328, that added together give a 13-th power (8192 = 213).

The spelling of 7864328 in words is "seven million, eight hundred sixty-four thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 19 31 38 62 76 124 152 248 589 1178 1669 2356 3338 4712 6676 13352 31711 51739 63422 103478 126844 206956 253688 413912 983041 1966082 3932164 7864328