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193912368 = 243131911627
BaseRepresentation
bin10111000111011…
…01111000110000
3111111212202202120
423203231320300
5344120143433
631124114240
74543141116
oct1343557060
9444782676
10193912368
119a505261
1254b35980
1331235460
141ba79ab6
15120557b3
hexb8ede30

193912368 has 80 divisors (see below), whose sum is σ = 542631936. Its totient is φ = 59316480.

The previous prime is 193912361. The next prime is 193912393. The reversal of 193912368 is 863219391.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (193912361) 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, 118371 + ... + 119997.

Almost surely, 2193912368 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 193912368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271315968).

193912368 is an abundant number, since it is smaller than the sum of its proper divisors (348719568).

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

193912368 is a wasteful number, since it uses less digits than its factorization.

193912368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1836 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 193912368 is about 13925.2421163871. The cubic root of 193912368 is about 578.8088594436.

The spelling of 193912368 in words is "one hundred ninety-three million, nine hundred twelve thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 191 208 312 382 573 624 764 1146 1528 1627 2292 2483 3056 3254 4584 4881 4966 6508 7449 9168 9762 9932 13016 14898 19524 19864 21151 26032 29796 39048 39728 42302 59592 63453 78096 84604 119184 126906 169208 253812 310757 338416 507624 621514 932271 1015248 1243028 1864542 2486056 3729084 4039841 4972112 7458168 8079682 12119523 14916336 16159364 24239046 32318728 48478092 64637456 96956184 193912368