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804823432 = 23731943359
BaseRepresentation
bin101111111110001…
…010000110001000
32002002102021012021
4233332022012020
53122013322212
6211510054224
725641613000
oct5776120610
92062367167
10804823432
11383335836
121a564a374
13ca9814aa
1478c63000
154a9cb307
hex2ff8a188

804823432 has 128 divisors (see below), whose sum is σ = 1900800000. Its totient is φ = 318282048.

The previous prime is 804823423. The next prime is 804823433. The reversal of 804823432 is 234328408.

804823432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (804823433) 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, 2241669 + ... + 2242027.

It is an arithmetic number, because the mean of its divisors is an integer number (14850000).

Almost surely, 2804823432 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 804823432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950400000).

804823432 is an abundant number, since it is smaller than the sum of its proper divisors (1095976568).

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

804823432 is a wasteful number, since it uses less digits than its factorization.

804823432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 804823432 is about 28369.4101454366. The cubic root of 804823432 is about 930.1797286278.

The spelling of 804823432 in words is "eight hundred four million, eight hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 19 28 38 43 49 56 76 86 98 133 152 172 196 266 301 343 344 359 392 532 602 686 718 817 931 1064 1204 1372 1436 1634 1862 2107 2408 2513 2744 2872 3268 3724 4214 5026 5719 6517 6536 6821 7448 8428 10052 11438 13034 13642 14749 15437 16856 17591 20104 22876 26068 27284 29498 30874 35182 40033 45752 47747 52136 54568 58996 61748 70364 80066 95494 108059 117992 123137 123496 140728 160132 190988 216118 246274 280231 293303 320264 334229 381976 432236 492548 560462 586606 668458 756413 864472 985096 1120924 1173212 1336916 1512826 2053121 2241848 2339603 2346424 2673832 3025652 4106242 4679206 5294891 6051304 8212484 9358412 10589782 14371847 16424968 18716824 21179564 28743694 42359128 57487388 100602929 114974776 201205858 402411716 804823432