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242448648 = 233136112739
BaseRepresentation
bin11100111001101…
…11100100001000
3121220012200000120
432130313210020
5444031324043
640020303240
76002531241
oct1634674410
9556180016
10242448648
11114946292
1269241b20
133b2ca550
14242b1cc8
1516441983
hexe737908

242448648 has 64 divisors (see below), whose sum is σ = 663499200. Its totient is φ = 73370880.

The previous prime is 242448637. The next prime is 242448649. The reversal of 242448648 is 846844242.

It is a happy number.

242448648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (242448649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12663 + ... + 25401.

It is an arithmetic number, because the mean of its divisors is an integer number (10367175).

Almost surely, 2242448648 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 242448648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331749600).

242448648 is an abundant number, since it is smaller than the sum of its proper divisors (421050552).

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

242448648 is a wasteful number, since it uses less digits than its factorization.

242448648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12822 (or 12818 counting only the distinct ones).

The product of its digits is 393216, while the sum is 42.

The square root of 242448648 is about 15570.7626017482. The cubic root of 242448648 is about 623.5528313375.

The spelling of 242448648 in words is "two hundred forty-two million, four hundred forty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 61 78 104 122 156 183 244 312 366 488 732 793 1464 1586 2379 3172 4758 6344 9516 12739 19032 25478 38217 50956 76434 101912 152868 165607 305736 331214 496821 662428 777079 993642 1324856 1554158 1987284 2331237 3108316 3974568 4662474 6216632 9324948 10102027 18649896 20204054 30306081 40408108 60612162 80816216 121224324 242448648