Search a number
-
+
36429918 = 2373112789
BaseRepresentation
bin1000101011111…
…0000001011110
32112112211110020
42022332001132
533311224133
63340453010
7621435450
oct212760136
975484406
1036429918
1119622378
121024a166
137716885
144ba42d0
1532e90b3
hex22be05e

36429918 has 32 divisors (see below), whose sum is σ = 83566080. Its totient is φ = 10371360.

The previous prime is 36429893. The next prime is 36429947. The reversal of 36429918 is 81992463.

36429918 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 (42).

It is a self number, because there is not a number n which added to its sum of digits gives 36429918.

It is a congruent number.

It is an unprimeable number.

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, 11668 + ... + 14456.

It is an arithmetic number, because the mean of its divisors is an integer number (2611440).

Almost surely, 236429918 is an apocalyptic number.

36429918 is an abundant number, since it is smaller than the sum of its proper divisors (47136162).

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

36429918 is a wasteful number, since it uses less digits than its factorization.

36429918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112.

The product of its digits is 93312, while the sum is 42.

The square root of 36429918 is about 6035.7201724401. The cubic root of 36429918 is about 331.5019325636.

The spelling of 36429918 in words is "thirty-six million, four hundred twenty-nine thousand, nine hundred eighteen".

Divisors: 1 2 3 6 7 14 21 42 311 622 933 1866 2177 2789 4354 5578 6531 8367 13062 16734 19523 39046 58569 117138 867379 1734758 2602137 5204274 6071653 12143306 18214959 36429918