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193889696 = 25711136053
BaseRepresentation
bin10111000111010…
…00010110100000
3111111211121122212
423203220112200
5344113432241
631123421252
74543015040
oct1343502640
9444747585
10193889696
119a49a220
1254b24828
1331228040
141ba71720
151204dbeb
hexb8e85a0

193889696 has 96 divisors (see below), whose sum is σ = 512604288. Its totient is φ = 69719040.

The previous prime is 193889693. The next prime is 193889713. The reversal of 193889696 is 696988391.

It is not an unprimeable number, because it can be changed into a prime (193889693) 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, 29006 + ... + 35058.

It is an arithmetic number, because the mean of its divisors is an integer number (5339628).

Almost surely, 2193889696 is an apocalyptic number.

193889696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193889696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256302144).

193889696 is an abundant number, since it is smaller than the sum of its proper divisors (318714592).

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

193889696 is a wasteful number, since it uses less digits than its factorization.

193889696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6094 (or 6086 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 59.

The square root of 193889696 is about 13924.4280313412. The cubic root of 193889696 is about 578.7863006867.

The spelling of 193889696 in words is "one hundred ninety-three million, eight hundred eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 572 616 728 1001 1144 1232 1456 2002 2288 2464 2912 4004 4576 6053 8008 12106 16016 24212 32032 42371 48424 66583 78689 84742 96848 133166 157378 169484 193696 266332 314756 338968 466081 532664 550823 629512 677936 865579 932162 1065328 1101646 1259024 1355872 1731158 1864324 2130656 2203292 2518048 3462316 3728648 4406584 6059053 6924632 7457296 8813168 12118106 13849264 14914592 17626336 24236212 27698528 48472424 96944848 193889696