Search a number
-
+
36491742 = 2337195081
BaseRepresentation
bin1000101100110…
…1000111011110
32112122222021000
42023031013132
533320213432
63342051130
7622113630
oct213150736
975588230
1036491742
1119664871
1210279aa6
137738a61
144bbca50
15330c57c
hex22cd1de

36491742 has 64 divisors (see below), whose sum is σ = 97574400. Its totient is φ = 9875520.

The previous prime is 36491729. The next prime is 36491797. The reversal of 36491742 is 24719463.

36491742 is a `hidden beast` number, since 3 + 649 + 1 + 7 + 4 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 36491697 and 36491706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4642 + ... + 9722.

It is an arithmetic number, because the mean of its divisors is an integer number (1524600).

Almost surely, 236491742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36491742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48787200).

36491742 is an abundant number, since it is smaller than the sum of its proper divisors (61082658).

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

36491742 is a wasteful number, since it uses less digits than its factorization.

36491742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5118 (or 5112 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 36491742 is about 6040.8395111938. The cubic root of 36491742 is about 331.6893535430.

The spelling of 36491742 in words is "thirty-six million, four hundred ninety-one thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 342 378 399 513 798 1026 1197 2394 3591 5081 7182 10162 15243 30486 35567 45729 71134 91458 96539 106701 137187 193078 213402 274374 289617 320103 579234 640206 675773 868851 960309 1351546 1737702 1920618 2027319 2606553 4054638 5213106 6081957 12163914 18245871 36491742