Search a number
-
+
36821796 = 223111761269
BaseRepresentation
bin1000110001110…
…1101100100100
32120021202000020
42030131230210
533411244141
63353115140
7624660114
oct214355444
976252006
1036821796
111986a840
12103b8ab0
13782305b
144c67044
153375266
hex231db24

36821796 has 96 divisors (see below), whose sum is σ = 101243520. Its totient is φ = 10291200.

The previous prime is 36821789. The next prime is 36821797. The reversal of 36821796 is 69712863.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36821797) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136750 + ... + 137018.

It is an arithmetic number, because the mean of its divisors is an integer number (1054620).

Almost surely, 236821796 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 36821796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50621760).

36821796 is an abundant number, since it is smaller than the sum of its proper divisors (64421724).

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

36821796 is a wasteful number, since it uses less digits than its factorization.

36821796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 363 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 36821796 is about 6068.0965714135. The cubic root of 36821796 is about 332.6863552929.

The spelling of 36821796 in words is "thirty-six million, eight hundred twenty-one thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 61 66 68 102 122 132 183 187 204 244 269 366 374 538 561 671 732 748 807 1037 1076 1122 1342 1614 2013 2074 2244 2684 2959 3111 3228 4026 4148 4573 5918 6222 8052 8877 9146 11407 11836 12444 13719 16409 17754 18292 22814 27438 32818 34221 35508 45628 49227 50303 54876 65636 68442 98454 100606 136884 150909 180499 196908 201212 278953 301818 360998 541497 557906 603636 721996 836859 1082994 1115812 1673718 2165988 3068483 3347436 6136966 9205449 12273932 18410898 36821796