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242533632 = 28311191511
BaseRepresentation
bin11100111010011…
…00010100000000
3121220100222121010
432131030110000
5444042034012
640022200520
76003334065
oct1635142400
9556328533
10242533632
111149a4120
1269283140
133b32a133
14242d4c6c
151645bc3c
hexe74c500

242533632 has 144 divisors (see below), whose sum is σ = 741726720. Its totient is φ = 69580800.

The previous prime is 242533607. The next prime is 242533637. The reversal of 242533632 is 236335242.

It is a super-2 number, since 2×2425336322 = 117645125302222848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 242533632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242533637) 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, 159757 + ... + 161267.

It is an arithmetic number, because the mean of its divisors is an integer number (5150880).

Almost surely, 2242533632 is an apocalyptic number.

242533632 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 242533632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370863360).

242533632 is an abundant number, since it is smaller than the sum of its proper divisors (499193088).

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

242533632 is a wasteful number, since it uses less digits than its factorization.

242533632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1546 counting only the distinct ones).

The product of its digits is 25920, while the sum is 30.

The square root of 242533632 is about 15573.4913233995. The cubic root of 242533632 is about 623.6256795108.

Adding to 242533632 its reverse (236335242), we get a palindrome (478868874).

The spelling of 242533632 in words is "two hundred forty-two million, five hundred thirty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 128 132 152 176 192 209 228 256 264 304 352 384 418 456 528 608 627 704 768 836 912 1056 1216 1254 1408 1511 1672 1824 2112 2432 2508 2816 3022 3344 3648 4224 4533 4864 5016 6044 6688 7296 8448 9066 10032 12088 13376 14592 16621 18132 20064 24176 26752 28709 33242 36264 40128 48352 49863 53504 57418 66484 72528 80256 86127 96704 99726 114836 132968 145056 160512 172254 193408 199452 229672 265936 290112 315799 344508 386816 398904 459344 531872 580224 631598 689016 797808 918688 947397 1063744 1160448 1263196 1378032 1595616 1837376 1894794 2127488 2526392 2756064 3191232 3674752 3789588 4254976 5052784 5512128 6382464 7349504 7579176 10105568 11024256 12764928 15158352 20211136 22048512 30316704 40422272 60633408 80844544 121266816 242533632