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809156928 = 26323971889
BaseRepresentation
bin110000001110101…
…100000101000000
32002101120102122010
4300032230011000
53124121010203
6212143012520
726023502046
oct6016540500
92071512563
10809156928
11385825638
121a6b9a140
13cb83aaa8
1479670396
154b085303
hex303ac140

809156928 has 112 divisors (see below), whose sum is σ = 2258202240. Its totient is φ = 255197184.

The previous prime is 809156903. The next prime is 809156969. The reversal of 809156928 is 829651908.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427408 + ... + 429296.

It is an arithmetic number, because the mean of its divisors is an integer number (20162520).

Almost surely, 2809156928 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 809156928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129101120).

809156928 is an abundant number, since it is smaller than the sum of its proper divisors (1449045312).

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

809156928 is a wasteful number, since it uses less digits than its factorization.

809156928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The square root of 809156928 is about 28445.6838202213. The cubic root of 809156928 is about 931.8462295505.

The spelling of 809156928 in words is "eight hundred nine million, one hundred fifty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 97 138 184 192 194 276 291 368 388 552 582 736 776 1104 1164 1472 1552 1889 2208 2231 2328 3104 3778 4416 4462 4656 5667 6208 6693 7556 8924 9312 11334 13386 15112 17848 18624 22668 26772 30224 35696 43447 45336 53544 60448 71392 86894 90672 107088 120896 130341 142784 173788 181344 183233 214176 260682 347576 362688 366466 428352 521364 549699 695152 732932 1042728 1099398 1390304 1465864 2085456 2198796 2780608 2931728 4170912 4214359 4397592 5863456 8341824 8428718 8795184 11726912 12643077 16857436 17590368 25286154 33714872 35180736 50572308 67429744 101144616 134859488 202289232 269718976 404578464 809156928