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7997238 = 2332347137
BaseRepresentation
bin11110100000011100110110
3120001022011000
4132200130312
54021402423
6443224130
7124655364
oct36403466
916038130
107997238
114572497
122818046
1318700c2
1410c2634
15a7e843
hex7a0736

7997238 has 64 divisors (see below), whose sum is σ = 19077120. Its totient is φ = 2477376.

The previous prime is 7997237. The next prime is 7997239. The reversal of 7997238 is 8327997.

7997238 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7997237) and next prime (7997239).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 7997193 and 7997202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7997237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58306 + ... + 58442.

It is an arithmetic number, because the mean of its divisors is an integer number (298080).

Almost surely, 27997238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7997238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9538560).

7997238 is an abundant number, since it is smaller than the sum of its proper divisors (11079882).

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

7997238 is a wasteful number, since it uses less digits than its factorization.

7997238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 212 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 7997238 is about 2827.9388253638. The cubic root of 7997238 is about 199.9769806840.

The spelling of 7997238 in words is "seven million, nine hundred ninety-seven thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 18 23 27 46 47 54 69 94 137 138 141 207 274 282 411 414 423 621 822 846 1081 1233 1242 1269 2162 2466 2538 3151 3243 3699 6302 6439 6486 7398 9453 9729 12878 18906 19317 19458 28359 29187 38634 56718 57951 58374 85077 115902 148097 170154 173853 296194 347706 444291 888582 1332873 2665746 3998619 7997238