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868391964 = 22321131127557
BaseRepresentation
bin110011110000101…
…001110000011100
32020112000212211100
4303300221300130
53234302020324
6222100353100
730343131666
oct6360516034
92215025740
10868391964
11406203810
122029a5790
1310abaa7cb
148348d536
15513864c9
hex33c29c1c

868391964 has 144 divisors (see below), whose sum is σ = 2495840256. Its totient is φ = 252201600.

The previous prime is 868391947. The next prime is 868391969. The reversal of 868391964 is 469193868.

It is a self number, because there is not a number n which added to its sum of digits gives 868391964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868391969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1558774 + ... + 1559330.

It is an arithmetic number, because the mean of its divisors is an integer number (17332224).

Almost surely, 2868391964 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 868391964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247920128).

868391964 is an abundant number, since it is smaller than the sum of its proper divisors (1627448292).

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

868391964 is a wasteful number, since it uses less digits than its factorization.

868391964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 731 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 868391964 is about 29468.4910370382. The cubic root of 868391964 is about 954.0517488377.

The spelling of 868391964 in words is "eight hundred sixty-eight million, three hundred ninety-one thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 127 132 186 198 254 279 341 372 381 396 508 557 558 682 762 1023 1114 1116 1143 1364 1397 1524 1671 2046 2228 2286 2794 3069 3342 3937 4092 4191 4572 5013 5588 6127 6138 6684 7874 8382 10026 11811 12254 12276 12573 15748 16764 17267 18381 20052 23622 24508 25146 34534 35433 36762 43307 47244 50292 51801 55143 69068 70739 70866 73524 86614 103602 110286 129921 141478 141732 155403 173228 189937 207204 212217 220572 259842 282956 310806 379874 389763 424434 519684 569811 621612 636651 759748 778129 779526 848868 1139622 1273302 1556258 1559052 1709433 2192909 2279244 2334387 2546604 3112516 3418866 4385818 4668774 6578727 6837732 7003161 8771636 9337548 13157454 14006322 19736181 24121999 26314908 28012644 39472362 48243998 72365997 78944724 96487996 144731994 217097991 289463988 434195982 868391964