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806352036 = 223723121427
BaseRepresentation
bin110000000011111…
…111010010100100
32002012021221001020
4300003333102210
53122411231121
6212002531140
725660610400
oct6003772244
92065257036
10806352036
1138418a246
121a6066ab0
13cb0981a9
1479140100
154abce1c6
hex300ff4a4

806352036 has 108 divisors (see below), whose sum is σ = 2263134384. Its totient is φ = 222798240.

The previous prime is 806352031. The next prime is 806352037. The reversal of 806352036 is 630253608.

It is a super-2 number, since 2×8063520362 = 1300407211922690592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 806351988 and 806352006.

It is not an unprimeable number, because it can be changed into a prime (806352031) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 564355 + ... + 565781.

It is an arithmetic number, because the mean of its divisors is an integer number (20954948).

Almost surely, 2806352036 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 806352036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131567192).

806352036 is an abundant number, since it is smaller than the sum of its proper divisors (1456782348).

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

806352036 is a wasteful number, since it uses less digits than its factorization.

806352036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 806352036 is about 28396.3384259309. The cubic root of 806352036 is about 930.7682540751.

The spelling of 806352036 in words is "eight hundred six million, three hundred fifty-two thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 217 294 372 434 588 651 868 961 1302 1427 1519 1922 2604 2854 2883 3038 3844 4281 4557 5708 5766 6076 6727 8562 9114 9989 11532 13454 17124 18228 19978 20181 26908 29967 39956 40362 44237 47089 59934 69923 80724 88474 94178 119868 132711 139846 141267 176948 188356 209769 265422 279692 282534 309659 419538 530844 565068 619318 839076 928977 1238636 1371347 1857954 2167613 2742694 3715908 4114041 4335226 5485388 6502839 8228082 8670452 9599429 13005678 16456164 19198858 26011356 28798287 38397716 57596574 67196003 115193148 134392006 201588009 268784012 403176018 806352036