Search a number
-
+
36339968 = 28722897
BaseRepresentation
bin1000101010100…
…0000100000000
32112101021001202
42022220010000
533300334333
63334520332
7620612300
oct212500400
975337052
1036339968
1119570835
12102060a8
1376b4952
144b7d600
1532cc5e8
hex22a8100

36339968 has 54 divisors (see below), whose sum is σ = 84410046. Its totient is φ = 15568896.

The previous prime is 36339959. The next prime is 36339971. The reversal of 36339968 is 86993363.

It can be written as a sum of positive squares in only one way, i.e., 24285184 + 12054784 = 4928^2 + 3472^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11096 + ... + 13992.

It is an arithmetic number, because the mean of its divisors is an integer number (1563149).

Almost surely, 236339968 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 36339968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42205023).

36339968 is an abundant number, since it is smaller than the sum of its proper divisors (48070078).

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

36339968 is an equidigital number, since it uses as much as digits as its factorization.

36339968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927 (or 2906 counting only the distinct ones).

The product of its digits is 629856, while the sum is 47.

The square root of 36339968 is about 6028.2640950775. The cubic root of 36339968 is about 331.2288678580.

The spelling of 36339968 in words is "thirty-six million, three hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 2897 3136 5794 6272 11588 12544 20279 23176 40558 46352 81116 92704 141953 162232 185408 283906 324464 370816 567812 648928 741632 1135624 1297856 2271248 2595712 4542496 5191424 9084992 18169984 36339968