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36368442 = 23211832213
BaseRepresentation
bin1000101010111…
…1000000111010
32112102201010100
42022233000322
533302242232
63335300230
7621061305
oct212570072
975381110
1036368442
1119590170
121021a676
1376c48b6
144b89b3c
1532d5c7c
hex22af03a

36368442 has 48 divisors (see below), whose sum is σ = 87036768. Its totient is φ = 10883040.

The previous prime is 36368399. The next prime is 36368443. The reversal of 36368442 is 24486363.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 36368397 and 36368406.

It is not an unprimeable number, because it can be changed into a prime (36368443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15328 + ... + 17540.

It is an arithmetic number, because the mean of its divisors is an integer number (1813266).

Almost surely, 236368442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36368442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43518384).

36368442 is an abundant number, since it is smaller than the sum of its proper divisors (50668326).

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

36368442 is a wasteful number, since it uses less digits than its factorization.

36368442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2312 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 36368442 is about 6030.6253407089. The cubic root of 36368442 is about 331.3153561799.

The spelling of 36368442 in words is "thirty-six million, three hundred sixty-eight thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 83 99 166 198 249 498 747 913 1494 1826 2213 2739 4426 5478 6639 8217 13278 16434 19917 24343 39834 48686 73029 146058 183679 219087 367358 438174 551037 1102074 1653111 2020469 3306222 4040938 6061407 12122814 18184221 36368442