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242787132532 = 227231093344921
BaseRepresentation
bin1110001000011100111…
…1011010010001110100
3212012200020211020001201
43202013033122101310
512434212001220112
6303311310502244
723353330401430
oct3420717322164
9765606736051
10242787132532
1193a6900915a
123b078b04984
1319b82944b89
14ba728c39c0
1564ae9a3257
hex38873da474

242787132532 has 48 divisors (see below), whose sum is σ = 507151233792. Its totient is φ = 99436296960.

The previous prime is 242787132517. The next prime is 242787132559. The reversal of 242787132532 is 235231787242.

242787132532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2427871325322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531432 + ... + 876352.

It is an arithmetic number, because the mean of its divisors is an integer number (10565650704).

Almost surely, 2242787132532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242787132532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253575616896).

242787132532 is an abundant number, since it is smaller than the sum of its proper divisors (264364101260).

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

242787132532 is a wasteful number, since it uses less digits than its factorization.

242787132532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346048 (or 346046 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 46.

The spelling of 242787132532 in words is "two hundred forty-two billion, seven hundred eighty-seven million, one hundred thirty-two thousand, five hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 644 1093 2186 4372 7651 15302 25139 30604 50278 100556 175973 344921 351946 689842 703892 1379684 2414447 4828894 7933183 9657788 15866366 31732732 55532281 111064562 222129124 376998653 753997306 1507994612 2638990571 5277981142 8670969019 10555962284 17341938038 34683876076 60696783133 121393566266 242787132532