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202042092 = 22373191257
BaseRepresentation
bin11000000101011…
…10101011101100
3112002011210122110
430002232223230
5403210321332
632014244020
75002221000
oct1402565354
9462153573
10202042092
11a405823a
12577b6610
1332b20945
141cb94700
1512b0e4cc
hexc0aeaec

202042092 has 96 divisors (see below), whose sum is σ = 554803200. Its totient is φ = 57200640.

The previous prime is 202042039. The next prime is 202042103. The reversal of 202042092 is 290240202.

202042092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 786028 + ... + 786284.

It is an arithmetic number, because the mean of its divisors is an integer number (5779200).

Almost surely, 2202042092 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 202042092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277401600).

202042092 is an abundant number, since it is smaller than the sum of its proper divisors (352761108).

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

202042092 is a wasteful number, since it uses less digits than its factorization.

202042092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 202042092 is about 14214.1511178121. The cubic root of 202042092 is about 586.7871826851.

Adding to 202042092 its reverse (290240202), we get a palindrome (492282294).

The spelling of 202042092 in words is "two hundred two million, forty-two thousand, ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 191 196 257 294 343 382 514 573 588 686 764 771 1028 1029 1146 1337 1372 1542 1799 2058 2292 2674 3084 3598 4011 4116 5348 5397 7196 8022 9359 10794 12593 16044 18718 21588 25186 28077 37436 37779 49087 50372 56154 65513 75558 88151 98174 112308 131026 147261 151116 176302 196348 196539 262052 264453 294522 343609 352604 393078 528906 589044 687218 786156 1030827 1057812 1374436 2061654 2405263 4123308 4810526 7215789 9621052 14431578 16836841 28863156 33673682 50510523 67347364 101021046 202042092