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813019896 = 2333131392083
BaseRepresentation
bin110000011101011…
…011001011111000
32002122211200122000
4300131123023320
53131113114041
6212401501000
726101361253
oct6035331370
92078750560
10813019896
11387a23977
121a8341760
13cc591180
1479d9809a
154b599bb6
hex3075b2f8

813019896 has 128 divisors (see below), whose sum is σ = 2450784000. Its totient is φ = 248241024.

The previous prime is 813019853. The next prime is 813019913. The reversal of 813019896 is 698910318.

It is a super-2 number, since 2×8130198962 = 1322002702583701632, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389271 + ... + 391353.

It is an arithmetic number, because the mean of its divisors is an integer number (19146750).

Almost surely, 2813019896 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 813019896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225392000).

813019896 is an abundant number, since it is smaller than the sum of its proper divisors (1637764104).

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

813019896 is a wasteful number, since it uses less digits than its factorization.

813019896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 813019896 is about 28513.5037482243. The cubic root of 813019896 is about 933.3267742169.

The spelling of 813019896 in words is "eight hundred thirteen million, nineteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 139 156 216 234 278 312 351 417 468 556 702 834 936 1112 1251 1404 1668 1807 2083 2502 2808 3336 3614 3753 4166 5004 5421 6249 7228 7506 8332 10008 10842 12498 14456 15012 16263 16664 18747 21684 24996 27079 30024 32526 37494 43368 48789 49992 54158 56241 65052 74988 81237 97578 108316 112482 130104 149976 162474 195156 216632 224964 243711 289537 324948 390312 449928 487422 579074 649896 731133 868611 974844 1158148 1462266 1737222 1949688 2316296 2605833 2924532 3474444 3763981 5211666 5849064 6948888 7527962 7817499 10423332 11291943 15055924 15634998 20846664 22583886 30111848 31269996 33875829 45167772 62539992 67751658 90335544 101627487 135503316 203254974 271006632 406509948 813019896