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768407244 = 2231113742491
BaseRepresentation
bin101101110011001…
…111011011001100
31222112220010120120
4231303033123030
53033203012434
6204125344540
725020232233
oct5563173314
91875803516
10768407244
11364822810
12195408150
13c3270c57
14740a3b1a
15476d6349
hex2dccf6cc

768407244 has 48 divisors (see below), whose sum is σ = 1970269056. Its totient is φ = 231145600.

The previous prime is 768407243. The next prime is 768407249. The reversal of 768407244 is 442704867.

It is a junction number, because it is equal to n+sod(n) for n = 768407196 and 768407205.

It is not an unprimeable number, because it can be changed into a prime (768407243) 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, 3162 + ... + 39329.

It is an arithmetic number, because the mean of its divisors is an integer number (41047272).

Almost surely, 2768407244 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 768407244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985134528).

768407244 is an abundant number, since it is smaller than the sum of its proper divisors (1201861812).

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

768407244 is a wasteful number, since it uses less digits than its factorization.

768407244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42646 (or 42644 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The square root of 768407244 is about 27720.1595233505. The cubic root of 768407244 is about 915.9332328037.

The spelling of 768407244 in words is "seven hundred sixty-eight million, four hundred seven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 137 274 411 548 822 1507 1644 3014 4521 6028 9042 18084 42491 84982 127473 169964 254946 467401 509892 934802 1402203 1869604 2804406 5608812 5821267 11642534 17463801 23285068 34927602 64033937 69855204 128067874 192101811 256135748 384203622 768407244