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242576048 = 241113971093
BaseRepresentation
bin11100111010101…
…10101010110000
3121220110010210002
432131112222300
5444044413143
640023125132
76003601541
oct1635265260
9556403702
10242576048
11114a22a80
12692a37a8
133b343530
14243064c8
15164695b8
hexe756ab0

242576048 has 80 divisors (see below), whose sum is σ = 558360096. Its totient is φ = 100638720.

The previous prime is 242576027. The next prime is 242576051. The reversal of 242576048 is 840675242.

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, 221390 + ... + 222482.

Almost surely, 2242576048 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 242576048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279180048).

242576048 is an abundant number, since it is smaller than the sum of its proper divisors (315784048).

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

242576048 is a wasteful number, since it uses less digits than its factorization.

242576048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The square root of 242576048 is about 15574.8530651175. The cubic root of 242576048 is about 623.6620320842.

It can be divided in two parts, 2425 and 76048, that multiplied together give a square (184416400 = 135802).

The spelling of 242576048 in words is "two hundred forty-two million, five hundred seventy-six thousand, forty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 97 104 143 176 194 208 286 388 572 776 1067 1093 1144 1261 1552 2134 2186 2288 2522 4268 4372 5044 8536 8744 10088 12023 13871 14209 17072 17488 20176 24046 27742 28418 48092 55484 56836 96184 106021 110968 113672 156299 192368 212042 221936 227344 312598 424084 625196 848168 1166231 1250392 1378273 1696336 2332462 2500784 2756546 4664924 5513092 9329848 11026184 15161003 18659696 22052368 30322006 60644012 121288024 242576048