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7983468 = 2233292549
BaseRepresentation
bin11110011101000101101100
3120000121021000
4132131011230
54020432333
6443040300
7124600263
oct36350554
916017230
107983468
114563109
122810090
131866a5c
1410bb5da
15a7a713
hex79d16c

7983468 has 48 divisors (see below), whose sum is σ = 21420000. Its totient is φ = 2568384.

The previous prime is 7983463. The next prime is 7983473. The reversal of 7983468 is 8643897.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7983463) and next prime (7983473).

It is a super-2 number, since 2×79834682 = 127471522614048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7983463) 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, 1858 + ... + 4406.

It is an arithmetic number, because the mean of its divisors is an integer number (446250).

Almost surely, 27983468 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 7983468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10710000).

7983468 is an abundant number, since it is smaller than the sum of its proper divisors (13436532).

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

7983468 is a wasteful number, since it uses less digits than its factorization.

7983468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591 (or 2583 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 7983468 is about 2825.5031410352. The cubic root of 7983468 is about 199.8621383260.

The spelling of 7983468 in words is "seven million, nine hundred eighty-three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 2549 3132 5098 7647 10196 15294 22941 30588 45882 68823 73921 91764 137646 147842 221763 275292 295684 443526 665289 887052 1330578 1995867 2661156 3991734 7983468