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36389052 = 22327197733
BaseRepresentation
bin1000101011010…
…0000010111100
32112110202101200
42022310002330
533303422202
63335535500
7621205350
oct212640274
975422350
1036389052
11195a46a7
121022a590
1377010ab
144b93460
1532dbe1c
hex22b40bc

36389052 has 72 divisors (see below), whose sum is σ = 105801696. Its totient is φ = 10329984.

The previous prime is 36389033. The next prime is 36389053. The reversal of 36389052 is 25098363.

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

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 36388998 and 36389016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36389053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49278 + ... + 50010.

It is an arithmetic number, because the mean of its divisors is an integer number (1469468).

Almost surely, 236389052 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 36389052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52900848).

36389052 is an abundant number, since it is smaller than the sum of its proper divisors (69412644).

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

36389052 is a wasteful number, since it uses less digits than its factorization.

36389052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 36389052 is about 6032.3338767015. Note that the first 3 decimals coincide. The cubic root of 36389052 is about 331.3779298439.

The spelling of 36389052 in words is "thirty-six million, three hundred eighty-nine thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 197 252 394 591 733 788 1182 1379 1466 1773 2199 2364 2758 2932 3546 4137 4398 5131 5516 6597 7092 8274 8796 10262 12411 13194 15393 16548 20524 24822 26388 30786 46179 49644 61572 92358 144401 184716 288802 433203 577604 866406 1010807 1299609 1732812 2021614 2599218 3032421 4043228 5198436 6064842 9097263 12129684 18194526 36389052