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805797456 = 243235989139
BaseRepresentation
bin110000000001110…
…111111001010000
32002011020202022020
4300001313321100
53122241004311
6211543011440
725653110502
oct6001677120
92064222266
10805797456
11383940612
121a5a39b80
13cac32939
1479037d72
154ab1ec06
hex30077e50

805797456 has 160 divisors (see below), whose sum is σ = 2249856000. Its totient is φ = 247931904.

The previous prime is 805797431. The next prime is 805797491. The reversal of 805797456 is 654797508.

It is a junction number, because it is equal to n+sod(n) for n = 805797399 and 805797408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5797035 + ... + 5797173.

It is an arithmetic number, because the mean of its divisors is an integer number (14061600).

Almost surely, 2805797456 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 805797456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124928000).

805797456 is an abundant number, since it is smaller than the sum of its proper divisors (1444058544).

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

805797456 is a wasteful number, since it uses less digits than its factorization.

805797456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The square root of 805797456 is about 28386.5717549689. The cubic root of 805797456 is about 930.5548221337.

The spelling of 805797456 in words is "eight hundred five million, seven hundred ninety-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 59 69 89 92 118 138 139 177 178 184 236 267 276 278 354 356 368 417 472 534 552 556 708 712 834 944 1068 1104 1112 1357 1416 1424 1668 2047 2136 2224 2714 2832 3197 3336 4071 4094 4272 5251 5428 6141 6394 6672 8142 8188 8201 9591 10502 10856 12282 12371 12788 15753 16284 16376 16402 19182 21004 21712 24564 24603 24742 25576 31506 32568 32752 32804 37113 38364 42008 49128 49206 49484 51152 63012 65136 65608 74226 76728 84016 98256 98412 98968 120773 126024 131216 148452 153456 188623 196824 197936 241546 252048 284533 296904 362319 377246 393648 483092 565869 569066 593808 724638 729889 754492 853599 966184 1131738 1138132 1449276 1459778 1508984 1707198 1932368 2189667 2263476 2276264 2898552 2919556 3017968 3414396 4379334 4526952 4552528 5797104 5839112 6828792 8758668 9053904 11678224 13657584 16787447 17517336 33574894 35034672 50362341 67149788 100724682 134299576 201449364 268599152 402898728 805797456