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242648480 = 2551789209
BaseRepresentation
bin11100111011010…
…00010110100000
3121220120211010202
432131220112200
5444104222410
640024444332
76004322654
oct1635502640
9556524122
10242648480
11114a72438
12693196a8
133b36a4a9
1424324a64
1516480ca5
hexe7685a0

242648480 has 48 divisors (see below), whose sum is σ = 606984840. Its totient is φ = 91348992.

The previous prime is 242648453. The next prime is 242648513. The reversal of 242648480 is 84846242.

It can be written as a sum of positive squares in 4 ways, for example, as 199035664 + 43612816 = 14108^2 + 6604^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41885 + ... + 47324.

Almost surely, 2242648480 is an apocalyptic number.

242648480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242648480 is an abundant number, since it is smaller than the sum of its proper divisors (364336360).

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

242648480 is a wasteful number, since it uses less digits than its factorization.

242648480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89241 (or 89233 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 38.

The square root of 242648480 is about 15577.1781783480. The cubic root of 242648480 is about 623.7241000326.

The spelling of 242648480 in words is "two hundred forty-two million, six hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 89209 178418 356836 446045 713672 892090 1427344 1516553 1784180 2854688 3033106 3568360 6066212 7136720 7582765 12132424 14273440 15165530 24264848 30331060 48529696 60662120 121324240 242648480