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805295064 = 233771181373
BaseRepresentation
bin101111111111111…
…101001111011000
32002010022020011010
4233333331033120
53122123420224
6211524133520
725645616010
oct5777751730
92063266133
10805295064
11383628112
121a58372a0
13caab8072
1478d46c40
154aa70e29
hex2fffd3d8

805295064 has 128 divisors (see below), whose sum is σ = 2352430080. Its totient is φ = 224985600.

The previous prime is 805295059. The next prime is 805295081. The reversal of 805295064 is 460592508.

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, 2158782 + ... + 2159154.

It is an arithmetic number, because the mean of its divisors is an integer number (18378360).

Almost surely, 2805295064 is an apocalyptic number.

805295064 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 805295064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176215040).

805295064 is an abundant number, since it is smaller than the sum of its proper divisors (1547135016).

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

805295064 is a wasteful number, since it uses less digits than its factorization.

805295064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 805295064 is about 28377.7212615812. The cubic root of 805295064 is about 930.3613903613.

The spelling of 805295064 in words is "eight hundred five million, two hundred ninety-five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 142 168 181 213 284 362 373 426 497 543 568 724 746 852 994 1086 1119 1267 1448 1491 1492 1704 1988 2172 2238 2534 2611 2982 2984 3801 3976 4344 4476 5068 5222 5964 7602 7833 8952 10136 10444 11928 12851 15204 15666 20888 25702 26483 30408 31332 38553 51404 52966 62664 67513 77106 79449 89957 102808 105932 135026 154212 158898 179914 185381 202539 211864 269871 270052 308424 317796 359828 370762 405078 472591 539742 540104 556143 635592 719656 741524 810156 945182 1079484 1112286 1417773 1483048 1620312 1890364 2158968 2224572 2835546 3780728 4449144 4793423 5671092 9586846 11342184 14380269 19173692 28760538 33553961 38347384 57521076 67107922 100661883 115042152 134215844 201323766 268431688 402647532 805295064