Search a number
-
+
36338652 = 2233771677
BaseRepresentation
bin1000101010011…
…1101111011100
32112101012021000
42022213233130
533300314102
63334510300
7620605410
oct212475734
975335230
1036338652
111956a849
1210205390
1376b417c
144b7cd40
1532cc01c
hex22a7bdc

36338652 has 96 divisors (see below), whose sum is σ = 109347840. Its totient is φ = 10221120.

The previous prime is 36338651. The next prime is 36338663. The reversal of 36338652 is 25683363.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36338651) 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, 53338 + ... + 54014.

It is an arithmetic number, because the mean of its divisors is an integer number (1139040).

Almost surely, 236338652 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 36338652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54673920).

36338652 is an abundant number, since it is smaller than the sum of its proper divisors (73009188).

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

36338652 is a wasteful number, since it uses less digits than its factorization.

36338652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 760 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 36338652 is about 6028.1549416053. The cubic root of 36338652 is about 331.2248694831.

The spelling of 36338652 in words is "thirty-six million, three hundred thirty-eight thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 71 84 108 126 142 189 213 252 284 378 426 497 639 677 756 852 994 1278 1354 1491 1917 1988 2031 2556 2708 2982 3834 4062 4473 4739 5964 6093 7668 8124 8946 9478 12186 13419 14217 17892 18279 18956 24372 26838 28434 36558 42651 48067 53676 56868 73116 85302 96134 127953 144201 170604 192268 255906 288402 336469 432603 511812 576804 672938 865206 1009407 1297809 1345876 1730412 2018814 2595618 3028221 4037628 5191236 6056442 9084663 12112884 18169326 36338652