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242476544 = 293115277
BaseRepresentation
bin11100111001111…
…10011000000000
3121220021002021202
432130332120000
5444033222134
640021040332
76003005462
oct1634763000
9556232252
10242476544
11114965242
12692560a8
133b30a15b
14242bc132
1516449d7e
hexe73e600

242476544 has 40 divisors (see below), whose sum is σ = 500140608. Its totient is φ = 117319680.

The previous prime is 242476543. The next prime is 242476547. The reversal of 242476544 is 445674242.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 242476498 and 242476507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242476541) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 8234 + ... + 23510.

Almost surely, 2242476544 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 242476544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250070304).

242476544 is an abundant number, since it is smaller than the sum of its proper divisors (257664064).

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

242476544 is an equidigital number, since it uses as much as digits as its factorization.

242476544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15326 (or 15310 counting only the distinct ones).

The product of its digits is 215040, while the sum is 38.

The square root of 242476544 is about 15571.6583574133. The cubic root of 242476544 is about 623.5767456287.

The spelling of 242476544 in words is "two hundred forty-two million, four hundred seventy-six thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1984 3968 7936 15277 15872 30554 61108 122216 244432 473587 488864 947174 977728 1894348 1955456 3788696 3910912 7577392 7821824 15154784 30309568 60619136 121238272 242476544