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242086248 = 233210613169
BaseRepresentation
bin11100110110111…
…11000101101000
3121212112020220100
432123133011220
5443433224443
640004425400
75666461545
oct1633370550
9555466810
10242086248
11114718a88
12690a8260
133b201601
1424219bcc
15163be3d3
hexe6df168

242086248 has 48 divisors (see below), whose sum is σ = 656475300. Its totient is φ = 80593920.

The previous prime is 242086231. The next prime is 242086253. The reversal of 242086248 is 842680242.

It is a happy number.

242086248 is a `hidden beast` number, since 2 + 4 + 20 + 8 + 624 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 226261764 + 15824484 = 15042^2 + 3978^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74808 + ... + 77976.

Almost surely, 2242086248 is an apocalyptic number.

It is an amenable number.

242086248 is an abundant number, since it is smaller than the sum of its proper divisors (414389052).

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

242086248 is a wasteful number, since it uses less digits than its factorization.

242086248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4242 (or 4235 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 242086248 is about 15559.1210548668. The cubic root of 242086248 is about 623.2419913118.

The spelling of 242086248 in words is "two hundred forty-two million, eighty-six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1061 2122 3169 3183 4244 6338 6366 8488 9507 9549 12676 12732 19014 19098 25352 25464 28521 38028 38196 57042 76056 76392 114084 228168 3362309 6724618 10086927 13449236 20173854 26898472 30260781 40347708 60521562 80695416 121043124 242086248