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807629381 = 13292142253
BaseRepresentation
bin110000001000110…
…111001001000101
32002021200211020022
4300020313021011
53123223120011
6212050144525
726004510416
oct6010671105
92067624208
10807629381
113849819a9
121a6582145
13cb424710
147939380d
154ad828db
hex30237245

807629381 has 8 divisors (see below), whose sum is σ = 899746680. Its totient is φ = 719796672.

The previous prime is 807629363. The next prime is 807629393. The reversal of 807629381 is 183926708.

It can be written as a sum of positive squares in 4 ways, for example, as 129026881 + 678602500 = 11359^2 + 26050^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 807629381 - 214 = 807612997 is a prime.

It is a super-2 number, since 2×8076293812 = 1304530434108886322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807629351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1070750 + ... + 1071503.

It is an arithmetic number, because the mean of its divisors is an integer number (112468335).

Almost surely, 2807629381 is an apocalyptic number.

It is an amenable number.

807629381 is a deficient number, since it is larger than the sum of its proper divisors (92117299).

807629381 is a wasteful number, since it uses less digits than its factorization.

807629381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142295.

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 807629381 is about 28418.8208939076. The cubic root of 807629381 is about 931.2594725040.

The spelling of 807629381 in words is "eight hundred seven million, six hundred twenty-nine thousand, three hundred eighty-one".

Divisors: 1 13 29 377 2142253 27849289 62125337 807629381