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242452116 = 223431101239
BaseRepresentation
bin11100111001110…
…00011010010100
3121220012211210000
432130320122110
5444031431431
640020331300
76002544324
oct1634703224
9556184700
10242452116
11114948955
1269243b30
133b2cbcba
14242b3284
15164429e6
hexe738694

242452116 has 120 divisors (see below), whose sum is σ = 663505920. Its totient is φ = 77112000.

The previous prime is 242452069. The next prime is 242452123. The reversal of 242452116 is 611254242.

242452116 is digitally balanced in base 2 and base 3, because in such bases 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 (27).

It is a self number, because there is not a number n which added to its sum of digits gives 242452116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1014325 + ... + 1014563.

It is an arithmetic number, because the mean of its divisors is an integer number (5529216).

Almost surely, 2242452116 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 242452116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331752960).

242452116 is an abundant number, since it is smaller than the sum of its proper divisors (421053804).

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

242452116 is a wasteful number, since it uses less digits than its factorization.

242452116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 376 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 242452116 is about 15570.8739639110. The cubic root of 242452116 is about 623.5558044357. Note that the first 3 decimals are identical.

The spelling of 242452116 in words is "two hundred forty-two million, four hundred fifty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 101 108 124 162 186 202 239 279 303 324 372 404 478 558 606 717 837 909 956 1116 1212 1434 1674 1818 2151 2511 2727 2868 3131 3348 3636 4302 5022 5454 6262 6453 7409 8181 8604 9393 10044 10908 12524 12906 14818 16362 18786 19359 22227 24139 25812 28179 29636 32724 37572 38718 44454 48278 56358 66681 72417 77436 84537 88908 96556 112716 133362 144834 169074 200043 217251 253611 266724 289668 338148 400086 434502 507222 600129 651753 748309 800172 869004 1014444 1200258 1303506 1496618 1955259 2244927 2400516 2607012 2993236 3910518 4489854 6734781 7821036 8979708 13469562 20204343 26939124 40408686 60613029 80817372 121226058 242452116