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247552029 = 32531932689
BaseRepresentation
bin11101100000101…
…01100000011101
3122020210221112200
432300111200131
51001333131104
640321522113
76064105014
oct1660254035
9566727480
10247552029
1111781155a
126aaa3339
133c3963ba
1424c3da7b
1516aedb39
hexec1581d

247552029 has 24 divisors (see below), whose sum is σ = 366345720. Its totient is φ = 161021952.

The previous prime is 247552021. The next prime is 247552037. The reversal of 247552029 is 920255742.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (247552021) and next prime (247552037).

It can be written as a sum of positive squares in 4 ways, for example, as 1375929 + 246176100 = 1173^2 + 15690^2 .

It is not a de Polignac number, because 247552029 - 23 = 247552021 is a prime.

It is a super-2 number, since 2×2475520292 = 122564014124033682, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 247551984 and 247552002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247552021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90717 + ... + 93405.

It is an arithmetic number, because the mean of its divisors is an integer number (15264405).

Almost surely, 2247552029 is an apocalyptic number.

It is an amenable number.

247552029 is a deficient number, since it is larger than the sum of its proper divisors (118793691).

247552029 is a wasteful number, since it uses less digits than its factorization.

247552029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 247552029 is about 15733.7862258263. The cubic root of 247552029 is about 627.8976101548.

The spelling of 247552029 in words is "two hundred forty-seven million, five hundred fifty-two thousand, twenty-nine".

Divisors: 1 3 9 53 159 193 477 579 1737 2689 8067 10229 24201 30687 92061 142517 427551 518977 1282653 1556931 4670793 27505781 82517343 247552029