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242551040 = 285189493
BaseRepresentation
bin11100111010100…
…00100100000000
3121220101212110212
432131100210000
5444043113130
640022413252
76003435614
oct1635204400
9556355425
10242551040
11114a06206
1269291228
133b335034
14242db344
1516461e95
hexe750900

242551040 has 36 divisors (see below), whose sum is σ = 580988604. Its totient is φ = 97019904.

The previous prime is 242551007. The next prime is 242551063. The reversal of 242551040 is 40155242.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 103876864 + 138674176 = 10192^2 + 11776^2 .

It is a junction number, because it is equal to n+sod(n) for n = 242550997 and 242551015.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 93467 + ... + 96026.

Almost surely, 2242551040 is an apocalyptic number.

242551040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242551040 is an abundant number, since it is smaller than the sum of its proper divisors (338437564).

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

242551040 is an equidigital number, since it uses as much as digits as its factorization.

242551040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189514 (or 189500 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 242551040 is about 15574.0502118107. The cubic root of 242551040 is about 623.6405995256.

The spelling of 242551040 in words is "two hundred forty-two million, five hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 189493 378986 757972 947465 1515944 1894930 3031888 3789860 6063776 7579720 12127552 15159440 24255104 30318880 48510208 60637760 121275520 242551040