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809660148 = 2231119449719
BaseRepresentation
bin110000010000100…
…110111011110100
32002102111222220220
4300100212323310
53124233111043
6212201454340
726030666133
oct6020467364
92072458826
10809660148
11386039720
121a71a13b0
13cb985b5b
147976191a
154b134483
hex30426ef4

809660148 has 96 divisors (see below), whose sum is σ = 2177280000. Its totient is φ = 231598080.

The previous prime is 809660143. The next prime is 809660183. The reversal of 809660148 is 841066908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809660143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1125733 + ... + 1126451.

It is an arithmetic number, because the mean of its divisors is an integer number (22680000).

Almost surely, 2809660148 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 809660148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088640000).

809660148 is an abundant number, since it is smaller than the sum of its proper divisors (1367619852).

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

809660148 is a wasteful number, since it uses less digits than its factorization.

809660148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 809660148 is about 28454.5277240723. The cubic root of 809660148 is about 932.0393632794.

The spelling of 809660148 in words is "eight hundred nine million, six hundred sixty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 449 627 719 836 898 1254 1347 1438 1796 2157 2508 2694 2876 4314 4939 5388 7909 8531 8628 9878 13661 14817 15818 17062 19756 23727 25593 27322 29634 31636 34124 40983 47454 51186 54644 59268 81966 93841 94908 102372 150271 163932 187682 281523 300542 322831 375364 450813 563046 601084 645662 901626 968493 1126092 1291324 1803252 1936986 3551141 3873972 6133789 7102282 10653423 12267578 14204564 18401367 21306846 24535156 36802734 42613692 67471679 73605468 134943358 202415037 269886716 404830074 809660148