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7944912 = 243353347
BaseRepresentation
bin11110010011101011010000
3112221122101000
4132103223100
54013214122
6442142000
7124350003
oct36235320
915848330
107944912
114537148
1227b1900
131852341
1410ab53a
15a6e0ac
hex793ad0

7944912 has 80 divisors (see below), whose sum is σ = 23302080. Its totient is φ = 2590848.

The previous prime is 7944887. The next prime is 7944919. The reversal of 7944912 is 2194497.

7944912 is digitally balanced in base 4, 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 an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7944919) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22723 + ... + 23069.

It is an arithmetic number, because the mean of its divisors is an integer number (291276).

Almost surely, 27944912 is an apocalyptic number.

7944912 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7944912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11651040).

7944912 is an abundant number, since it is smaller than the sum of its proper divisors (15357168).

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

7944912 is a wasteful number, since it uses less digits than its factorization.

7944912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 405 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 7944912 is about 2818.6720277464. The cubic root of 7944912 is about 199.5398755727.

The spelling of 7944912 in words is "seven million, nine hundred forty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 347 424 432 477 636 694 848 954 1041 1272 1388 1431 1908 2082 2544 2776 2862 3123 3816 4164 5552 5724 6246 7632 8328 9369 11448 12492 16656 18391 18738 22896 24984 36782 37476 49968 55173 73564 74952 110346 147128 149904 165519 220692 294256 331038 441384 496557 662076 882768 993114 1324152 1986228 2648304 3972456 7944912