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810014296 = 237213212227
BaseRepresentation
bin110000010001111…
…101011001011000
32002110011222201111
4300101331121120
53124330424141
6212213230104
726034002500
oct6021753130
92073158644
10810014296
11386260803
121a7332334
13cba7b100
1479814a00
154b1a4381
hex3047d658

810014296 has 72 divisors (see below), whose sum is σ = 1913254020. Its totient is φ = 320419008.

The previous prime is 810014287. The next prime is 810014321. The reversal of 810014296 is 692410018.

It is a happy number.

It is a super-2 number, since 2×8100142962 = 1312246319448751232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 60135 + ... + 72361.

Almost surely, 2810014296 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 810014296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956627010).

810014296 is an abundant number, since it is smaller than the sum of its proper divisors (1103239724).

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

810014296 is a wasteful number, since it uses less digits than its factorization.

810014296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12273 (or 12249 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 810014296 is about 28460.7500955263. The cubic root of 810014296 is about 932.1752358275.

The spelling of 810014296 in words is "eight hundred ten million, fourteen thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 169 182 196 338 364 392 637 676 728 1183 1274 1352 2366 2548 4732 5096 8281 9464 12227 16562 24454 33124 48908 66248 85589 97816 158951 171178 317902 342356 599123 635804 684712 1112657 1198246 1271608 2066363 2225314 2396492 4132726 4450628 4792984 7788599 8265452 8901256 14464541 15577198 16530904 28929082 31154396 57858164 62308792 101251787 115716328 202503574 405007148 810014296