Search a number
-
+
36949704 = 23311178233
BaseRepresentation
bin1000110011110…
…0111011001000
32120112020110120
42030330323020
533424342304
63355543240
7626032041
oct214747310
976466416
1036949704
1119947950
121045ab20
13786933c
144c9b8c8
15339d0d9
hex233cec8

36949704 has 64 divisors (see below), whose sum is σ = 106712640. Its totient is φ = 10536960.

The previous prime is 36949697. The next prime is 36949727. The reversal of 36949704 is 40794963.

36949704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 372 + ... + 8604.

It is an arithmetic number, because the mean of its divisors is an integer number (1667385).

Almost surely, 236949704 is an apocalyptic number.

36949704 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36949704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53356320).

36949704 is an abundant number, since it is smaller than the sum of its proper divisors (69762936).

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

36949704 is a wasteful number, since it uses less digits than its factorization.

36949704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8270 (or 8266 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 36949704 is about 6078.6268186162. The cubic root of 36949704 is about 333.0711280214.

The spelling of 36949704 in words is "thirty-six million, nine hundred forty-nine thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 4488 8233 16466 24699 32932 49398 65864 90563 98796 139961 181126 197592 271689 279922 362252 419883 543378 559844 724504 839766 1086756 1119688 1539571 1679532 2173512 3079142 3359064 4618713 6158284 9237426 12316568 18474852 36949704