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813016248 = 233113139839
BaseRepresentation
bin110000011101011…
…010010010111000
32002122211111121220
4300131122102320
53131113004443
6212401432040
726101344522
oct6035322270
92078744556
10813016248
11387a21160
121a833b620
13cc58c605
1479d96a12
154b598a83
hex3075a4b8

813016248 has 64 divisors (see below), whose sum is σ = 2224627200. Its totient is φ = 245556480.

The previous prime is 813016241. The next prime is 813016249. The reversal of 813016248 is 842610318.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813016241) 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, 77713 + ... + 87551.

It is an arithmetic number, because the mean of its divisors is an integer number (34759800).

Almost surely, 2813016248 is an apocalyptic number.

813016248 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813016248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112313600).

813016248 is an abundant number, since it is smaller than the sum of its proper divisors (1411610952).

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

813016248 is a wasteful number, since it uses less digits than its factorization.

813016248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10172 (or 10168 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 813016248 is about 28513.4397784624. The cubic root of 813016248 is about 933.3253782769.

The spelling of 813016248 in words is "eight hundred thirteen million, sixteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 313 626 939 1252 1878 2504 3443 3756 6886 7512 9839 10329 13772 19678 20658 27544 29517 39356 41316 59034 78712 82632 108229 118068 216458 236136 324687 432916 649374 865832 1298748 2597496 3079607 6159214 9238821 12318428 18477642 24636856 33875677 36955284 67751354 73910568 101627031 135502708 203254062 271005416 406508124 813016248