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242513232 = 24313478269
BaseRepresentation
bin11100111010001…
…11010101010000
3121220022221121120
432131013111100
5444040410412
640021522240
76003220443
oct1635072520
9556287546
10242513232
1111498a865
1269273380
133b320a70
14242cb65a
1516455b8c
hexe747550

242513232 has 80 divisors (see below), whose sum is σ = 689122560. Its totient is φ = 73022976.

The previous prime is 242513203. The next prime is 242513269. The reversal of 242513232 is 232315242.

242513232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25194 + ... + 33462.

It is an arithmetic number, because the mean of its divisors is an integer number (8614032).

Almost surely, 2242513232 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 242513232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344561280).

242513232 is an abundant number, since it is smaller than the sum of its proper divisors (446609328).

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

242513232 is a wasteful number, since it uses less digits than its factorization.

242513232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8340 (or 8334 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 242513232 is about 15572.8363505175. The cubic root of 242513232 is about 623.6081942100.

Adding to 242513232 its reverse (232315242), we get a palindrome (474828474).

The spelling of 242513232 in words is "two hundred forty-two million, five hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 47 48 52 78 94 104 141 156 188 208 282 312 376 564 611 624 752 1128 1222 1833 2256 2444 3666 4888 7332 8269 9776 14664 16538 24807 29328 33076 49614 66152 99228 107497 132304 198456 214994 322491 388643 396912 429988 644982 777286 859976 1165929 1289964 1554572 1719952 2331858 2579928 3109144 4663716 5052359 5159856 6218288 9327432 10104718 15157077 18654864 20209436 30314154 40418872 60628308 80837744 121256616 242513232