Search a number
-
+
7987896 = 23357587
BaseRepresentation
bin11110011110001010111000
3120000211100000
4132132022320
54021103041
6443113000
7124616220
oct36361270
916024300
107987896
114566474
122812760
131868a87
1410bd080
15a7bbb6
hex79e2b8

7987896 has 96 divisors (see below), whose sum is σ = 25683840. Its totient is φ = 2278368.

The previous prime is 7987883. The next prime is 7987897. The reversal of 7987896 is 6987897.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7987897) 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 23 ways as a sum of consecutive naturals, for example, 13315 + ... + 13901.

It is an arithmetic number, because the mean of its divisors is an integer number (267540).

Almost surely, 27987896 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 7987896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12841920).

7987896 is an abundant number, since it is smaller than the sum of its proper divisors (17695944).

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

7987896 is a wasteful number, since it uses less digits than its factorization.

7987896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 599 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The square root of 7987896 is about 2826.2866096700. The cubic root of 7987896 is about 199.8990824201.

Subtracting from 7987896 its reverse (6987897), we obtain a palindrome (999999).

The spelling of 7987896 in words is "seven million, nine hundred eighty-seven thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 587 648 756 972 1134 1174 1512 1701 1761 1944 2268 2348 3402 3522 4109 4536 4696 5283 6804 7044 8218 10566 12327 13608 14088 15849 16436 21132 24654 31698 32872 36981 42264 47547 49308 63396 73962 95094 98616 110943 126792 142641 147924 190188 221886 285282 295848 332829 380376 443772 570564 665658 887544 998487 1141128 1331316 1996974 2662632 3993948 7987896