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201376592 = 24192383347
BaseRepresentation
bin11000000000011…
…00001101010000
3112000220222202022
430000030031100
5403023022332
631552111012
74663446524
oct1400141520
9460828668
10201376592
11a374323a
1257535468
1332949a61
141ca5dd84
1512a2c212
hexc00c350

201376592 has 80 divisors (see below), whose sum is σ = 434972160. Its totient is φ = 89882496.

The previous prime is 201376583. The next prime is 201376613. The reversal of 201376592 is 295673102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 580163 + ... + 580509.

It is an arithmetic number, because the mean of its divisors is an integer number (5437152).

Almost surely, 2201376592 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 201376592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217486080).

201376592 is an abundant number, since it is smaller than the sum of its proper divisors (233595568).

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

201376592 is a wasteful number, since it uses less digits than its factorization.

201376592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 201376592 is about 14190.7220394172. The cubic root of 201376592 is about 586.1422074856.

The spelling of 201376592 in words is "two hundred one million, three hundred seventy-six thousand, five hundred ninety-two".

Divisors: 1 2 4 8 16 19 23 38 46 76 83 92 152 166 184 304 332 347 368 437 664 694 874 1328 1388 1577 1748 1909 2776 3154 3496 3818 5552 6308 6593 6992 7636 7981 12616 13186 15272 15962 25232 26372 28801 30544 31924 36271 52744 57602 63848 72542 105488 115204 127696 145084 151639 230408 290168 303278 460816 547219 580336 606556 662423 1094438 1213112 1324846 2188876 2426224 2649692 4377752 5299384 8755504 10598768 12586037 25172074 50344148 100688296 201376592