Search a number
-
+
202652142 = 237211223281
BaseRepresentation
bin11000001010000…
…11100111101110
3112010022210110220
430011003213232
5403334332032
632035312210
75010341400
oct1405034756
9463283426
10202652142
11a4434610
1257a4b666
1332ca5514
141ccb2b70
1512bd012c
hexc1439ee

202652142 has 96 divisors (see below), whose sum is σ = 518482944. Its totient is φ = 52214400.

The previous prime is 202652111. The next prime is 202652147. The reversal of 202652142 is 241256202.

It is a happy number.

202652142 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202652147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 721042 + ... + 721322.

It is an arithmetic number, because the mean of its divisors is an integer number (5400864).

Almost surely, 2202652142 is an apocalyptic number.

202652142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 202652142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259241472).

202652142 is an abundant number, since it is smaller than the sum of its proper divisors (315830802).

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

202652142 is a wasteful number, since it uses less digits than its factorization.

202652142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 527 counting only the distinct ones).

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

The square root of 202652142 is about 14235.5941920244. The cubic root of 202652142 is about 587.3771749875.

The spelling of 202652142 in words is "two hundred two million, six hundred fifty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 223 231 281 294 446 462 539 562 669 843 1078 1338 1561 1617 1686 1967 2453 3091 3122 3234 3934 4683 4906 5901 6182 7359 9273 9366 10927 11802 13769 14718 17171 18546 21637 21854 27538 32781 34342 41307 43274 51513 62663 64911 65562 82614 103026 120197 125326 129822 151459 187989 240394 302918 360591 375978 438641 454377 689293 721182 877282 908754 1315923 1378586 2067879 2631846 3070487 4135758 4825051 6140974 9211461 9650102 14475153 18422922 28950306 33775357 67550714 101326071 202652142