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242968752 = 2432131071213
BaseRepresentation
bin11100111101101…
…10100010110000
3121221012002110200
432132312202300
5444200000002
640035355200
76010125465
oct1636664260
9557162420
10242968752
11115171024
1269452b00
133b4501c0
14243a966c
15164e5b1c
hexe7b68b0

242968752 has 120 divisors (see below), whose sum is σ = 739733904. Its totient is φ = 73999872.

The previous prime is 242968741. The next prime is 242968799. The reversal of 242968752 is 257869242.

242968752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242968698 and 242968707.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199698 + ... + 200910.

Almost surely, 2242968752 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 242968752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369866952).

242968752 is an abundant number, since it is smaller than the sum of its proper divisors (496765152).

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

242968752 is a wasteful number, since it uses less digits than its factorization.

242968752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1338 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 242968752 is about 15587.4549558291. The cubic root of 242968752 is about 623.9983974318.

The spelling of 242968752 in words is "two hundred forty-two million, nine hundred sixty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 107 117 144 156 208 214 234 312 321 428 468 624 642 856 936 963 1213 1284 1391 1712 1872 1926 2426 2568 2782 3639 3852 4173 4852 5136 5564 7278 7704 8346 9704 10917 11128 12519 14556 15408 15769 16692 19408 21834 22256 25038 29112 31538 33384 43668 47307 50076 58224 63076 66768 87336 94614 100152 126152 129791 141921 174672 189228 200304 252304 259582 283842 378456 389373 519164 567684 756912 778746 1038328 1135368 1168119 1557492 1687283 2076656 2270736 2336238 3114984 3374566 4672476 5061849 6229968 6749132 9344952 10123698 13498264 15185547 18689904 20247396 26996528 30371094 40494792 60742188 80989584 121484376 242968752