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202062042 = 232713281439
BaseRepresentation
bin11000000101100…
…11100011011010
3112002012211000100
430002303203122
5403211441132
632014520230
75002333110
oct1402634332
9462184010
10202062042
11a4071226
1257806076
1332b29a50
141cb9bab0
1512b1537c
hexc0b38da

202062042 has 96 divisors (see below), whose sum is σ = 541981440. Its totient is φ = 52980480.

The previous prime is 202062019. The next prime is 202062059. The reversal of 202062042 is 240260202.

It is a happy number.

202062042 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 620 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 460059 + ... + 460497.

It is an arithmetic number, because the mean of its divisors is an integer number (5645640).

Almost surely, 2202062042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202062042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270990720).

202062042 is an abundant number, since it is smaller than the sum of its proper divisors (339919398).

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

202062042 is a wasteful number, since it uses less digits than its factorization.

202062042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 202062042 is about 14214.8528659287. The cubic root of 202062042 is about 586.8064955238.

The spelling of 202062042 in words is "two hundred two million, sixty-two thousand, forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 281 439 546 562 819 843 878 1317 1638 1686 1967 2529 2634 3073 3653 3934 3951 5058 5707 5901 6146 7306 7902 9219 10959 11414 11802 17121 17703 18438 21918 25571 27657 32877 34242 35406 39949 51142 51363 55314 65754 76713 79898 102726 119847 123359 153426 230139 239694 246718 359541 370077 460278 719082 740154 863513 1110231 1603667 1727026 2220462 2590539 3207334 4811001 5181078 7771617 9622002 11225669 14433003 15543234 22451338 28866006 33677007 67354014 101031021 202062042