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242140052 = 227114347389
BaseRepresentation
bin11100110111011…
…00001110010100
3121212121222201002
432123230032110
5443441440202
640005522432
76000104450
oct1633541624
9555558632
10242140052
11114755450
1269113418
133b21cc4b
1424231660
15163d0302
hexe6ec394

242140052 has 96 divisors (see below), whose sum is σ = 553512960. Its totient is φ = 89953920.

The previous prime is 242139991. The next prime is 242140057. The reversal of 242140052 is 250041242.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242140057) 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, 622274 + ... + 622662.

It is an arithmetic number, because the mean of its divisors is an integer number (5765760).

Almost surely, 2242140052 is an apocalyptic number.

242140052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242140052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276756480).

242140052 is an abundant number, since it is smaller than the sum of its proper divisors (311372908).

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

242140052 is a wasteful number, since it uses less digits than its factorization.

242140052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 242140052 is about 15560.8499767847. The cubic root of 242140052 is about 623.2881600202.

Adding to 242140052 its reverse (250041242), we get a palindrome (492181294).

The spelling of 242140052 in words is "two hundred forty-two million, one hundred forty thousand, fifty-two".

Divisors: 1 2 4 7 11 14 22 28 43 44 47 77 86 94 154 172 188 301 308 329 389 473 517 602 658 778 946 1034 1204 1316 1556 1892 2021 2068 2723 3311 3619 4042 4279 5446 6622 7238 8084 8558 10892 13244 14147 14476 16727 17116 18283 22231 28294 29953 33454 36566 44462 56588 59906 66908 73132 88924 117089 119812 127981 155617 183997 201113 234178 255962 311234 367994 402226 468356 511924 622468 735988 786169 804452 1287979 1407791 1572338 2575958 2815582 3144676 5151916 5503183 5631164 8647859 11006366 17295718 22012732 34591436 60535013 121070026 242140052