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809198448 = 243193472557
BaseRepresentation
bin110000001110110…
…110001101110000
32002101122112120220
4300032312031300
53124123322243
6212143533040
726024034102
oct6016661560
92071575526
10809198448
11385853853
121a6bba180
13cb853966
1479681572
154b092783
hex303b6370

809198448 has 80 divisors (see below), whose sum is σ = 2207656320. Its totient is φ = 254700288.

The previous prime is 809198441. The next prime is 809198449. The reversal of 809198448 is 844891908.

It is a self number, because there is not a number n which added to its sum of digits gives 809198448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809198441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315186 + ... + 317742.

It is an arithmetic number, because the mean of its divisors is an integer number (27595704).

Almost surely, 2809198448 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 809198448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103828160).

809198448 is an abundant number, since it is smaller than the sum of its proper divisors (1398457872).

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

809198448 is a wasteful number, since it uses less digits than its factorization.

809198448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2934 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The square root of 809198448 is about 28446.4136228102. The cubic root of 809198448 is about 931.8621677830.

The spelling of 809198448 in words is "eight hundred nine million, one hundred ninety-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 347 456 694 912 1041 1388 2082 2557 2776 4164 5114 5552 6593 7671 8328 10228 13186 15342 16656 19779 20456 26372 30684 39558 40912 48583 52744 61368 79116 97166 105488 122736 145749 158232 194332 291498 316464 388664 582996 777328 887279 1165992 1774558 2331984 2661837 3549116 5323674 7098232 10647348 14196464 16858301 21294696 33716602 42589392 50574903 67433204 101149806 134866408 202299612 269732816 404599224 809198448