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809386704 = 2432742341
BaseRepresentation
bin110000001111100…
…100001011010000
32002102000002211100
4300033210023100
53124200333304
6212151544400
726025450000
oct6017441320
92072002740
10809386704
11385972235
121a708b100
13cb8bb559
14796d0000
154b0cd439
hex303e42d0

809386704 has 150 divisors (see below), whose sum is σ = 2643656626. Its totient is φ = 231154560.

The previous prime is 809386703. The next prime is 809386741. The reversal of 809386704 is 407683908.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 731594304 + 77792400 = 27048^2 + 8820^2 .

It is a super-2 number, since 2×8093867042 = 1310213673223967232, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 809386704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809386703) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 344574 + ... + 346914.

Almost surely, 2809386704 is an apocalyptic number.

809386704 is a gapful number since it is divisible by the number (84) 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 809386704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321828313).

809386704 is an abundant number, since it is smaller than the sum of its proper divisors (1834269922).

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

809386704 is a wasteful number, since it uses less digits than its factorization.

809386704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 809386704 is about 28449.7223888037. The cubic root of 809386704 is about 931.9344265481.

The spelling of 809386704 in words is "eight hundred nine million, three hundred eighty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 343 392 441 504 588 686 784 882 1008 1029 1176 1372 1764 2058 2341 2352 2401 2744 3087 3528 4116 4682 4802 5488 6174 7023 7056 7203 8232 9364 9604 12348 14046 14406 16387 16464 18728 19208 21069 21609 24696 28092 28812 32774 37456 38416 42138 43218 49161 49392 56184 57624 65548 84276 86436 98322 112368 114709 115248 131096 147483 168552 172872 196644 229418 262192 294966 337104 344127 345744 393288 458836 589932 688254 786576 802963 917672 1032381 1179864 1376508 1605926 1835344 2064762 2359728 2408889 2753016 3211852 4129524 4817778 5506032 5620741 6423704 7226667 8259048 9635556 11241482 12847408 14453334 16518096 16862223 19271112 22482964 28906668 33724446 38542224 44965928 50586669 57813336 67448892 89931856 101173338 115626672 134897784 202346676 269795568 404693352 809386704