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80125794 = 23371737337
BaseRepresentation
bin1001100011010…
…01111101100010
312120202210221000
410301221331202
5131003011134
611541212430
71662025620
oct461517542
9176683830
1080125794
1141257771
1222a01116
13137a5718
14a8da510
15707ae99
hex4c69f62

80125794 has 128 divisors (see below), whose sum is σ = 221944320. Its totient is φ = 20901888.

The previous prime is 80125763. The next prime is 80125807. The reversal of 80125794 is 49752108.

80125794 is a `hidden beast` number, since 80 + 1 + 2 + 579 + 4 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 237594 + ... + 237930.

It is an arithmetic number, because the mean of its divisors is an integer number (1733940).

Almost surely, 280125794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80125794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110972160).

80125794 is an abundant number, since it is smaller than the sum of its proper divisors (141818526).

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

80125794 is a wasteful number, since it uses less digits than its factorization.

80125794 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 80125794 is about 8951.3012461876. The cubic root of 80125794 is about 431.1126655323.

The spelling of 80125794 in words is "eighty million, one hundred twenty-five thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 37 42 51 54 63 74 102 111 119 126 153 189 222 238 259 306 333 337 357 378 459 518 629 666 674 714 777 918 999 1011 1071 1258 1554 1887 1998 2022 2142 2331 2359 3033 3213 3774 4403 4662 4718 5661 5729 6066 6426 6993 7077 8806 9099 11322 11458 12469 13209 13986 14154 16983 17187 18198 21231 24938 26418 33966 34374 37407 39627 40103 42462 51561 63693 74814 79254 80206 87283 103122 112221 118881 120309 127386 154683 174566 211973 224442 237762 240618 261849 309366 336663 360927 423946 523698 635919 673326 721854 785547 1082781 1271838 1483811 1571094 1907757 2165562 2356641 2967622 3815514 4451433 4713282 5723271 8902866 11446542 13354299 26708598 40062897 80125794