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202083042 = 23746710303
BaseRepresentation
bin11000000101110…
…00101011100010
3112002020212211010
430002320223202
5403213124132
632015201350
75002451250
oct1402705342
9462225733
10202083042
11a4085a87
1257816256
1332b36485
141cba55d0
1512b1b6cc
hexc0b8ae2

202083042 has 32 divisors (see below), whose sum is σ = 462938112. Its totient is φ = 57608784.

The previous prime is 202083019. The next prime is 202083043. The reversal of 202083042 is 240380202.

202083042 is digitally balanced in base 3, 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 not an unprimeable number, because it can be changed into a prime (202083043) 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, 14463 + ... + 24765.

It is an arithmetic number, because the mean of its divisors is an integer number (14466816).

Almost surely, 2202083042 is an apocalyptic number.

202083042 is an abundant number, since it is smaller than the sum of its proper divisors (260855070).

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

202083042 is a wasteful number, since it uses less digits than its factorization.

202083042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10782.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 202083042 is about 14215.5915107322. The cubic root of 202083042 is about 586.8268234544.

The spelling of 202083042 in words is "two hundred two million, eighty-three thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 42 467 934 1401 2802 3269 6538 9807 10303 19614 20606 30909 61818 72121 144242 216363 432726 4811501 9623002 14434503 28869006 33680507 67361014 101041521 202083042