Search a number
-
+
3107909568 = 26342138449
BaseRepresentation
bin1011100100111110…
…1110111111000000
322000121002011102210
42321033232333000
522331111101233
61232221142120
7140005536561
oct27117567700
98017064383
103107909568
111355374505
127289ba940
133a6b6725a
14216a96168
15132cac163
hexb93eefc0

3107909568 has 56 divisors (see below), whose sum is σ = 8242757200. Its totient is φ = 1033482240.

The previous prime is 3107909549. The next prime is 3107909573. The reversal of 3107909568 is 8659097013.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61608 + ... + 100056.

Almost surely, 23107909568 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 3107909568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4121378600).

3107909568 is an abundant number, since it is smaller than the sum of its proper divisors (5134847632).

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

3107909568 is a wasteful number, since it uses less digits than its factorization.

3107909568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38885 (or 38875 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The square root of 3107909568 is about 55748.6283956834. The cubic root of 3107909568 is about 1459.3387835932.

The spelling of 3107909568 in words is "three billion, one hundred seven million, nine hundred nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 421 842 1263 1684 2526 3368 5052 6736 10104 13472 20208 26944 38449 40416 76898 80832 115347 153796 230694 307592 461388 615184 922776 1230368 1845552 2460736 3691104 7382208 16187029 32374058 48561087 64748116 97122174 129496232 194244348 258992464 388488696 517984928 776977392 1035969856 1553954784 3107909568