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7964028 = 2233371993
BaseRepresentation
bin11110011000010101111100
3112222121121000
4132120111330
54014322103
6442410300
7124456512
oct36302574
915877530
107964028
11454a546
122800990
13185ac57
1410b44b2
15a74aa3
hex79857c

7964028 has 48 divisors (see below), whose sum is σ = 21216160. Its totient is φ = 2581632.

The previous prime is 7964023. The next prime is 7964029. The reversal of 7964028 is 8204697.

7964028 is a `hidden beast` number, since 7 + 9 + 640 + 2 + 8 = 666.

7964028 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 = 7963983 and 7964001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7964023) 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 15 ways as a sum of consecutive naturals, for example, 3000 + ... + 4992.

Almost surely, 27964028 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 7964028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10608080).

7964028 is an abundant number, since it is smaller than the sum of its proper divisors (13252132).

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

7964028 is a wasteful number, since it uses less digits than its factorization.

7964028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7964028 is about 2822.0609490229. The cubic root of 7964028 is about 199.6997829073.

The spelling of 7964028 in words is "seven million, nine hundred sixty-four thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1993 1998 3986 3996 5979 7972 11958 17937 23916 35874 53811 71748 73741 107622 147482 215244 221223 294964 442446 663669 884892 1327338 1991007 2654676 3982014 7964028