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7916064 = 253136343
BaseRepresentation
bin11110001100101000100000
3112220011210120
4132030220200
54011303224
6441400240
7124166622
oct36145040
915804716
107916064
114517502
122799080
131842180
1410a0c12
15a65779
hex78ca20

7916064 has 48 divisors (see below), whose sum is σ = 22381632. Its totient is φ = 2435328.

The previous prime is 7916059. The next prime is 7916081. The reversal of 7916064 is 4606197.

It is a happy number.

7916064 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1924 + ... + 4419.

It is an arithmetic number, because the mean of its divisors is an integer number (466284).

Almost surely, 27916064 is an apocalyptic number.

It is an amenable number.

7916064 is an abundant number, since it is smaller than the sum of its proper divisors (14465568).

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

7916064 is a wasteful number, since it uses less digits than its factorization.

7916064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6369 (or 6361 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 7916064 is about 2813.5500706403. The cubic root of 7916064 is about 199.2980727057.

The spelling of 7916064 in words is "seven million, nine hundred sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 6343 12686 19029 25372 38058 50744 76116 82459 101488 152232 164918 202976 247377 304464 329836 494754 608928 659672 989508 1319344 1979016 2638688 3958032 7916064