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36268908 = 22313298017
BaseRepresentation
bin1000101001011…
…0101101101100
32112020122120220
42022112231230
533241101113
63333211340
7620165154
oct212265554
975218526
1036268908
1119522405
1210190b50
13768b4c0
144b61764
1532b6523
hex2296b6c

36268908 has 48 divisors (see below), whose sum is σ = 94291680. Its totient is φ = 10773504.

The previous prime is 36268901. The next prime is 36268927. The reversal of 36268908 is 80986263.

36268908 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 36268908.

It is not an unprimeable number, because it can be changed into a prime (36268901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 516 + ... + 8532.

It is an arithmetic number, because the mean of its divisors is an integer number (1964410).

Almost surely, 236268908 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 36268908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47145840).

36268908 is an abundant number, since it is smaller than the sum of its proper divisors (58022772).

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

36268908 is a wasteful number, since it uses less digits than its factorization.

36268908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8066 (or 8064 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 36268908 is about 6022.3673086254. The cubic root of 36268908 is about 331.0128294939.

The spelling of 36268908 in words is "thirty-six million, two hundred sixty-eight thousand, nine hundred eight".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 1131 1508 2262 4524 8017 16034 24051 32068 48102 96204 104221 208442 232493 312663 416884 464986 625326 697479 929972 1250652 1394958 2789916 3022409 6044818 9067227 12089636 18134454 36268908