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804120912 = 24337594507
BaseRepresentation
bin101111111011011…
…110100101010000
32002001002120112000
4233323132211100
53121323332122
6211443034000
725632625560
oct5773364520
92061076460
10804120912
113829a5a41
121a536b900
13ca7967ba
1478b1cda0
154a8dd0ac
hex2fede950

804120912 has 160 divisors (see below), whose sum is σ = 2683161600. Its totient is φ = 225804672.

The previous prime is 804120901. The next prime is 804120913. The reversal of 804120912 is 219021408.

It is a super-2 number, since 2×8041209122 = 1293220882231423488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804120913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176163 + ... + 180669.

It is an arithmetic number, because the mean of its divisors is an integer number (16769760).

Almost surely, 2804120912 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 804120912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341580800).

804120912 is an abundant number, since it is smaller than the sum of its proper divisors (1879040688).

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

804120912 is a wasteful number, since it uses less digits than its factorization.

804120912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4590 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 804120912 is about 28357.0257960880. The cubic root of 804120912 is about 929.9090025429.

The spelling of 804120912 in words is "eight hundred four million, one hundred twenty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 59 63 72 84 108 112 118 126 144 168 177 189 216 236 252 336 354 378 413 432 472 504 531 708 756 826 944 1008 1062 1239 1416 1512 1593 1652 2124 2478 2832 3024 3186 3304 3717 4248 4507 4956 6372 6608 7434 8496 9014 9912 11151 12744 13521 14868 18028 19824 22302 25488 27042 29736 31549 36056 40563 44604 54084 59472 63098 72112 81126 89208 94647 108168 121689 126196 162252 178416 189294 216336 243378 252392 265913 283941 324504 378588 486756 504784 531826 567882 649008 757176 797739 851823 973512 1063652 1135764 1514352 1595478 1703646 1861391 1947024 2127304 2271528 2393217 3190956 3407292 3722782 4254608 4543056 4786434 5584173 6381912 6814584 7179651 7445564 9572868 11168346 12763824 13629168 14359302 14891128 16752519 19145736 22336692 28718604 29782256 33505038 38291472 44673384 50257557 57437208 67010076 89346768 100515114 114874416 134020152 201030228 268040304 402060456 804120912