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242248464 = 24321682281
BaseRepresentation
bin11100111000001…
…10101100010000
3121212211111102100
432130012230100
5444003422324
640012120400
76001035513
oct1634065420
9555744370
10242248464
11114819947
1269166100
133b25a3b3
142425cd7a
15164024c9
hexe706b10

242248464 has 30 divisors (see below), whose sum is σ = 677959646. Its totient is φ = 80749440.

The previous prime is 242248451. The next prime is 242248493. The reversal of 242248464 is 464842242.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 139428864 + 102819600 = 11808^2 + 10140^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 840997 + ... + 841284.

Almost surely, 2242248464 is an apocalyptic number.

242248464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242248464 is an abundant number, since it is smaller than the sum of its proper divisors (435711182).

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

242248464 is a wasteful number, since it uses less digits than its factorization.

242248464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682295 (or 1682286 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The square root of 242248464 is about 15564.3330727661. Note that the first 3 decimals coincide. The cubic root of 242248464 is about 623.3811665721.

The spelling of 242248464 in words is "two hundred forty-two million, two hundred forty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1682281 3364562 5046843 6729124 10093686 13458248 15140529 20187372 26916496 30281058 40374744 60562116 80749488 121124232 242248464