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242512752 = 24317319587
BaseRepresentation
bin11100111010001…
…11001101110000
3121220022220221210
432131013031300
5444040402002
640021520120
76003216156
oct1635071560
9556286853
10242512752
1111498a469
1269273040
133b320791
14242cb3d6
151645596c
hexe747370

242512752 has 80 divisors (see below), whose sum is σ = 684813312. Its totient is φ = 73620480.

The previous prime is 242512747. The next prime is 242512801. The reversal of 242512752 is 257215242.

It is a super-2 number, since 2×2425127522 = 117624869765227008, which contains 22 as substring.

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, 20503 + ... + 30089.

Almost surely, 2242512752 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 242512752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342406656).

242512752 is an abundant number, since it is smaller than the sum of its proper divisors (442300560).

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

242512752 is a wasteful number, since it uses less digits than its factorization.

242512752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9646 (or 9640 counting only the distinct ones).

The product of its digits is 11200, while the sum is 30.

The square root of 242512752 is about 15572.8209390592. The cubic root of 242512752 is about 623.6077827793.

Adding to 242512752 its reverse (257215242), we get a palindrome (499727994).

The spelling of 242512752 in words is "two hundred forty-two million, five hundred twelve thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 93 102 124 136 186 204 248 272 372 408 496 527 744 816 1054 1488 1581 2108 3162 4216 6324 8432 9587 12648 19174 25296 28761 38348 57522 76696 115044 153392 162979 230088 297197 325958 460176 488937 594394 651916 891591 977874 1188788 1303832 1783182 1955748 2377576 2607664 3566364 3911496 4755152 5052349 7132728 7822992 10104698 14265456 15157047 20209396 30314094 40418792 60628188 80837584 121256376 242512752