Search a number
-
+
36903906 = 23213179277
BaseRepresentation
bin1000110011000…
…1101111100010
32120102220122100
42030301233202
533421411111
63354551230
7625451364
oct214615742
976386570
1036903906
11199164a6
1210438516
137851540
144c88d34
15338e756
hex2331be2

36903906 has 48 divisors (see below), whose sum is σ = 91184184. Its totient is φ = 10685952.

The previous prime is 36903901. The next prime is 36903907. The reversal of 36903906 is 60930963.

36903906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 34327881 + 2576025 = 5859^2 + 1605^2 .

It is not an unprimeable number, because it can be changed into a prime (36903901) 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 23 ways as a sum of consecutive naturals, for example, 661 + ... + 8616.

Almost surely, 236903906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36903906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45592092).

36903906 is an abundant number, since it is smaller than the sum of its proper divisors (54280278).

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

36903906 is a wasteful number, since it uses less digits than its factorization.

36903906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9315 (or 9312 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 36903906 is about 6074.8585168710. The cubic root of 36903906 is about 332.9334607197.

The spelling of 36903906 in words is "thirty-six million, nine hundred three thousand, nine hundred six".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1326 1989 3978 9277 18554 27831 55662 83493 120601 157709 166986 241202 315418 361803 473127 723606 946254 1085409 1419381 2050217 2170818 2838762 4100434 6150651 12301302 18451953 36903906