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7997332 = 2274759103
BaseRepresentation
bin11110100000011110010100
3120001022021111
4132200132110
54021403312
6443224404
7124655560
oct36403624
916038244
107997332
114572572
122818104
131870165
1410c26a0
15a7e8a7
hex7a0794

7997332 has 48 divisors (see below), whose sum is σ = 16773120. Its totient is φ = 3265632.

The previous prime is 7997323. The next prime is 7997333. The reversal of 7997332 is 2337997.

7997332 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7997333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77593 + ... + 77695.

It is an arithmetic number, because the mean of its divisors is an integer number (349440).

Almost surely, 27997332 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 7997332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8386560).

7997332 is an abundant number, since it is smaller than the sum of its proper divisors (8775788).

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

7997332 is a wasteful number, since it uses less digits than its factorization.

7997332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 218 counting only the distinct ones).

The product of its digits is 71442, while the sum is 40.

The square root of 7997332 is about 2827.9554451936. The cubic root of 7997332 is about 199.9777641946.

The spelling of 7997332 in words is "seven million, nine hundred ninety-seven thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 47 59 94 103 118 188 206 236 329 412 413 658 721 826 1316 1442 1652 2773 2884 4841 5546 6077 9682 11092 12154 19364 19411 24308 33887 38822 42539 67774 77644 85078 135548 170156 285619 571238 1142476 1999333 3998666 7997332