Search a number
-
+
1939687568 = 247138291607
BaseRepresentation
bin111001110011101…
…0100100010010000
312000011212100010022
41303213110202100
512433030000233
6520250123012
766032033540
oct16347244220
95004770108
101939687568
119059a2a85
12461720468
1324bb1b130
14145879320
15b544c398
hex739d4890

1939687568 has 80 divisors (see below), whose sum is σ = 4633870080. Its totient is φ = 765946368.

The previous prime is 1939687567. The next prime is 1939687661. The reversal of 1939687568 is 8657869391.

It is a happy number.

It is a super-2 number, since 2×19396875682 = 7524775722907509248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1939687568.

It is not an unprimeable number, because it can be changed into a prime (1939687567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1206221 + ... + 1207827.

It is an arithmetic number, because the mean of its divisors is an integer number (57923376).

Almost surely, 21939687568 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 1939687568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316935040).

1939687568 is an abundant number, since it is smaller than the sum of its proper divisors (2694182512).

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

1939687568 is a wasteful number, since it uses less digits than its factorization.

1939687568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464 (or 2458 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 62.

The square root of 1939687568 is about 44041.8842467032. The cubic root of 1939687568 is about 1247.1267484407.

The spelling of 1939687568 in words is "one billion, nine hundred thirty-nine million, six hundred eighty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 829 1456 1607 1658 3214 3316 5803 6428 6632 10777 11249 11606 12856 13264 20891 21554 22498 23212 25712 41782 43108 44996 46424 75439 83564 86216 89992 92848 146237 150878 167128 172432 179984 292474 301756 334256 584948 603512 1169896 1207024 1332203 2339792 2664406 5328812 9325421 10657624 17318639 18650842 21315248 34637278 37301684 69274556 74603368 121230473 138549112 149206736 242460946 277098224 484921892 969843784 1939687568