Search a number
-
+
868154868 = 223374672459
BaseRepresentation
bin110011101111101…
…111110111110100
32020111120211121000
4303233233313310
53234221423433
6222051323300
730341123520
oct6357576764
92214524530
10868154868
11406061669
122028b0530
1310ab26909
148342ad80
155133b113
hex33befdf4

868154868 has 96 divisors (see below), whose sum is σ = 2578867200. Its totient is φ = 247412448.

The previous prime is 868154863. The next prime is 868154887. The reversal of 868154868 is 868451868.

868154868 is a `hidden beast` number, since 86 + 81 + 5 + 486 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868154863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351823 + ... + 354281.

It is an arithmetic number, because the mean of its divisors is an integer number (26863200).

Almost surely, 2868154868 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 868154868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289433600).

868154868 is an abundant number, since it is smaller than the sum of its proper divisors (1710712332).

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

868154868 is a wasteful number, since it uses less digits than its factorization.

868154868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946 (or 2938 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The square root of 868154868 is about 29464.4678893069. The cubic root of 868154868 is about 953.9649130721.

The spelling of 868154868 in words is "eight hundred sixty-eight million, one hundred fifty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 467 756 934 1401 1868 2459 2802 3269 4203 4918 5604 6538 7377 8406 9807 9836 12609 13076 14754 16812 17213 19614 22131 25218 29421 29508 34426 39228 44262 50436 51639 58842 66393 68852 88263 88524 103278 117684 132786 154917 176526 206556 265572 309834 353052 464751 619668 929502 1148353 1859004 2296706 3445059 4593412 6890118 8038471 10335177 13780236 16076942 20670354 24115413 31005531 32153884 41340708 48230826 62011062 72346239 96461652 124022124 144692478 217038717 289384956 434077434 868154868