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78988 = 22721331
BaseRepresentation
bin10011010010001100
311000100111
4103102030
510011423
61405404
7446200
oct232214
9130314
1078988
1154388
1239864
1329c50
1420b00
151860d
hex1348c

78988 has 36 divisors (see below), whose sum is σ = 178752. Its totient is φ = 30240.

The previous prime is 78979. The next prime is 78989. The reversal of 78988 is 88987.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 78988.

It is not an unprimeable number, because it can be changed into a prime (78989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2533 + ... + 2563.

278988 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 78988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89376).

78988 is an abundant number, since it is smaller than the sum of its proper divisors (99764).

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

78988 is a wasteful number, since it uses less digits than its factorization.

78988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 53 counting only the distinct ones).

The product of its digits is 32256, while the sum is 40.

The square root of 78988 is about 281.0480385984. The cubic root of 78988 is about 42.9062315828.

Subtracting 78988 from its reverse (88987), we obtain a palindrome (9999).

The spelling of 78988 in words is "seventy-eight thousand, nine hundred eighty-eight".

Divisors: 1 2 4 7 13 14 26 28 31 49 52 62 91 98 124 182 196 217 364 403 434 637 806 868 1274 1519 1612 2548 2821 3038 5642 6076 11284 19747 39494 78988