Search a number
-
+
685007862 = 237112373643
BaseRepresentation
bin101000110101000…
…110001111110110
31202201222000010120
4220311012033312
52400330222422
6151550032410
722655320320
oct5065061766
91681860116
10685007862
1132173a600
121714a8706
13abbc04c6
1466d94610
154021045c
hex28d463f6

685007862 has 96 divisors (see below), whose sum is σ = 1768010496. Its totient is φ = 173067840.

The previous prime is 685007831. The next prime is 685007867. The reversal of 685007862 is 268700586.

It is a super-2 number, since 2×6850078622 = 938471542003622088, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (685007867) 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, 186213 + ... + 189855.

It is an arithmetic number, because the mean of its divisors is an integer number (18416776).

Almost surely, 2685007862 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 685007862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884005248).

685007862 is an abundant number, since it is smaller than the sum of its proper divisors (1083002634).

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

685007862 is a wasteful number, since it uses less digits than its factorization.

685007862 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3714 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 685007862 is about 26172.6548519633. The cubic root of 685007862 is about 881.5193544321.

The spelling of 685007862 in words is "six hundred eighty-five million, seven thousand, eight hundred sixty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 37 42 66 74 77 111 121 154 222 231 242 259 363 407 462 518 726 777 814 847 1221 1554 1694 2442 2541 2849 3643 4477 5082 5698 7286 8547 8954 10929 13431 17094 21858 25501 26862 31339 40073 51002 62678 76503 80146 94017 120219 134791 153006 188034 240438 269582 280511 404373 440803 561022 808746 841533 881606 943537 1322409 1482701 1683066 1887074 2644818 2830611 2965402 3085621 4448103 5661222 6171242 8896206 9256863 10378907 16309711 18513726 20757814 31136721 32619422 48929133 62273442 97858266 114167977 228335954 342503931 685007862