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202043058 = 23729315351
BaseRepresentation
bin11000000101011…
…10111010110010
3112002011211222020
430002232322302
5403210334213
632014252310
75002223550
oct1402567262
9462154866
10202043058
11a4058a38
12577b7096
1332b21209
141cb94bd0
1512b0e923
hexc0aeeb2

202043058 has 64 divisors (see below), whose sum is σ = 493240320. Its totient is φ = 53928000.

The previous prime is 202042993. The next prime is 202043059. The reversal of 202043058 is 850340202.

202043058 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2020430583 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (202043059) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35083 + ... + 40433.

It is an arithmetic number, because the mean of its divisors is an integer number (7706880).

Almost surely, 2202043058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202043058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246620160).

202043058 is an abundant number, since it is smaller than the sum of its proper divisors (291197262).

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

202043058 is a wasteful number, since it uses less digits than its factorization.

202043058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5423.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 202043058 is about 14214.1850979928. The cubic root of 202043058 is about 586.7881178623.

The spelling of 202043058 in words is "two hundred two million, forty-three thousand, fifty-eight".

Divisors: 1 2 3 6 7 14 21 29 31 42 58 62 87 93 174 186 203 217 406 434 609 651 899 1218 1302 1798 2697 5351 5394 6293 10702 12586 16053 18879 32106 37457 37758 74914 112371 155179 165881 224742 310358 331762 465537 497643 931074 995286 1086253 1161167 2172506 2322334 3258759 3483501 4810549 6517518 6967002 9621098 14431647 28863294 33673843 67347686 101021529 202043058