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242516052 = 22334747777
BaseRepresentation
bin11100111010010…
…00000001010100
3121220100002111000
432131020001110
5444041003202
640021543300
76003231612
oct1635100124
9556302430
10242516052
11114991999
1269274b30
133b32212c
14242cc6b2
151645691c
hexe748054

242516052 has 48 divisors (see below), whose sum is σ = 642136320. Its totient is φ = 79117056.

The previous prime is 242516047. The next prime is 242516059. The reversal of 242516052 is 250615242.

242516052 is a `hidden beast` number, since 2 + 4 + 2 + 51 + 605 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242516059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18813 + ... + 28964.

It is an arithmetic number, because the mean of its divisors is an integer number (13377840).

Almost surely, 2242516052 is an apocalyptic number.

It is an amenable number.

242516052 is an abundant number, since it is smaller than the sum of its proper divisors (399620268).

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

242516052 is a wasteful number, since it uses less digits than its factorization.

242516052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47837 (or 47829 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 242516052 is about 15572.9268925273. The cubic root of 242516052 is about 623.6106113541.

It can be divided in two parts, 24251 and 6052, that added together give a palindrome (30303).

The spelling of 242516052 in words is "two hundred forty-two million, five hundred sixteen thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 564 846 1269 1692 2538 5076 47777 95554 143331 191108 286662 429993 573324 859986 1289979 1719972 2245519 2579958 4491038 5159916 6736557 8982076 13473114 20209671 26946228 40419342 60629013 80838684 121258026 242516052