Search a number
-
+
51006078 = 2338910613
BaseRepresentation
bin1100001010010…
…0101001111110
310112222101012000
43002210221332
5101024143303
65021123130
71156354524
oct302445176
9115871160
1051006078
1126878692
12150b94a6
13a74b316
146aba314
154727da3
hex30a4a7e

51006078 has 32 divisors (see below), whose sum is σ = 114631200. Its totient is φ = 16809408.

The previous prime is 51006061. The next prime is 51006079. The reversal of 51006078 is 87060015.

51006078 is a `hidden beast` number, since 51 + 0 + 0 + 607 + 8 = 666.

51006078 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51006079) 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 15 ways as a sum of consecutive naturals, for example, 501 + ... + 10112.

It is an arithmetic number, because the mean of its divisors is an integer number (3582225).

Almost surely, 251006078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51006078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57315600).

51006078 is an abundant number, since it is smaller than the sum of its proper divisors (63625122).

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

51006078 is a wasteful number, since it uses less digits than its factorization.

51006078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10713 (or 10707 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 51006078 is about 7141.8539609824. The cubic root of 51006078 is about 370.8577082605.

The spelling of 51006078 in words is "fifty-one million, six thousand, seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 89 178 267 534 801 1602 2403 4806 10613 21226 31839 63678 95517 191034 286551 573102 944557 1889114 2833671 5667342 8501013 17002026 25503039 51006078