Search a number
-
+
7946144 = 25248317
BaseRepresentation
bin11110010011111110100000
3112221201001122
4132103332200
54013234034
6442151412
7124353413
oct36237640
915851048
107946144
114538068
1227b2568
131852a7b
1410abb7a
15a6e62e
hex793fa0

7946144 has 12 divisors (see below), whose sum is σ = 15644034. Its totient is φ = 3973056.

The previous prime is 7946129. The next prime is 7946153. The reversal of 7946144 is 4416497.

It can be written as a sum of positive squares in only one way, i.e., 6822544 + 1123600 = 2612^2 + 1060^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

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 as a sum of consecutive naturals, namely, 124127 + ... + 124190.

Almost surely, 27946144 is an apocalyptic number.

It is an amenable number.

7946144 is a deficient number, since it is larger than the sum of its proper divisors (7697890).

7946144 is a wasteful number, since it uses less digits than its factorization.

7946144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248327 (or 248319 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 7946144 is about 2818.8905619055. The cubic root of 7946144 is about 199.5501891092.

The spelling of 7946144 in words is "seven million, nine hundred forty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 248317 496634 993268 1986536 3973072 7946144