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242187552 = 2532840929
BaseRepresentation
bin11100110111101…
…11110100100000
3121212201101212100
432123313310200
5444000000202
640010530400
76000363105
oct1633676440
9555641770
10242187552
11114788102
1269136a00
133b238759
1424244aac
15163de41c
hexe6f7d20

242187552 has 36 divisors (see below), whose sum is σ = 688721670. Its totient is φ = 80729088.

The previous prime is 242187523. The next prime is 242187557. The reversal of 242187552 is 255781242.

It is a happy number.

242187552 is a `hidden beast` number, since 2 + 4 + 21 + 87 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 159668496 + 82519056 = 12636^2 + 9084^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (242187557) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 420177 + ... + 420752.

Almost surely, 2242187552 is an apocalyptic number.

It is an amenable number.

242187552 is an abundant number, since it is smaller than the sum of its proper divisors (446534118).

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

242187552 is a wasteful number, since it uses less digits than its factorization.

242187552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840945 (or 840934 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 242187552 is about 15562.3761681820. The cubic root of 242187552 is about 623.3289136414.

The spelling of 242187552 in words is "two hundred forty-two million, one hundred eighty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 840929 1681858 2522787 3363716 5045574 6727432 7568361 10091148 13454864 15136722 20182296 26909728 30273444 40364592 60546888 80729184 121093776 242187552