Search a number
-
+
78000852 = 223193131093
BaseRepresentation
bin1001010011000…
…11001011010100
312102202212001110
410221203023110
5124432011402
611423455020
71634665506
oct451431324
9172685043
1078000852
1140036216
1222157470
1313210467
14a505d76
156cab56c
hex4a632d4

78000852 has 48 divisors (see below), whose sum is σ = 192368960. Its totient is φ = 24530688.

The previous prime is 78000841. The next prime is 78000859. The reversal of 78000852 is 25800087.

78000852 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

78000852 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78000859) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70818 + ... + 71910.

Almost surely, 278000852 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 78000852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96184480).

78000852 is an abundant number, since it is smaller than the sum of its proper divisors (114368108).

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

78000852 is a wasteful number, since it uses less digits than its factorization.

78000852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 78000852 is about 8831.8091011978. The cubic root of 78000852 is about 427.2674238501.

It can be divided in two parts, 7800085 and 2, that added together give a palindrome (7800087).

The spelling of 78000852 in words is "seventy-eight million, eight hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 313 626 939 1093 1252 1878 2186 3279 3756 4372 5947 6558 11894 13116 17841 20767 23788 35682 41534 62301 71364 83068 124602 249204 342109 684218 1026327 1368436 2052654 4105308 6500071 13000142 19500213 26000284 39000426 78000852