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5768004 = 22311371181
BaseRepresentation
bin10110000000001101000100
3101212001012210
4112000031010
52434034004
6323343420
7100012224
oct26001504
911761183
105768004
11328a650
121b21b70
13126c528
14aa2084
1578e089
hex580344

5768004 has 48 divisors (see below), whose sum is σ = 15091776. Its totient is φ = 1699200.

The previous prime is 5767999. The next prime is 5768011. The reversal of 5768004 is 4008675.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 55 + 78 + 6 + 8 + 0 + 0 + 43 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4294 + ... + 5474.

It is an arithmetic number, because the mean of its divisors is an integer number (314412).

Almost surely, 25768004 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 5768004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7545888).

5768004 is an abundant number, since it is smaller than the sum of its proper divisors (9323772).

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

5768004 is a wasteful number, since it uses less digits than its factorization.

5768004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 5768004 is about 2401.6669211196. Note that the first 3 decimals coincide. The cubic root of 5768004 is about 179.3391819040.

The spelling of 5768004 in words is "five million, seven hundred sixty-eight thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1181 1221 1628 2362 2442 3543 4724 4884 7086 12991 14172 25982 38973 43697 51964 77946 87394 131091 155892 174788 262182 480667 524364 961334 1442001 1922668 2884002 5768004