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242869248 = 2103219273
BaseRepresentation
bin11100111100111…
…10010000000000
3121221000000222100
432132132100000
5444133303443
640033310400
76006232416
oct1636362000
9557000870
10242869248
11115103296
1269405400
133b416b1b
14243812b6
15164c63d3
hexe79e400

242869248 has 198 divisors, whose sum is σ = 750270534. Its totient is φ = 75644928.

The previous prime is 242869217. The next prime is 242869261. The reversal of 242869248 is 842968242.

It can be written as a sum of positive squares in only one way, i.e., 212926464 + 29942784 = 14592^2 + 5472^2 .

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 17 ways as a sum of consecutive naturals, for example, 3326940 + ... + 3327012.

Almost surely, 2242869248 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 242869248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375135267).

242869248 is an abundant number, since it is smaller than the sum of its proper divisors (507401286).

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

242869248 is a wasteful number, since it uses less digits than its factorization.

242869248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 97 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 242869248 is about 15584.2628314592. The cubic root of 242869248 is about 623.9132029174.

The spelling of 242869248 in words is "two hundred forty-two million, eight hundred sixty-nine thousand, two hundred forty-eight".