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247484742 = 23177873083
BaseRepresentation
bin11101100000001…
…01000101000110
3122020200112020120
432300011011012
51001324002432
640320242410
76063404601
oct1660050506
9566615216
10247484742
11117775a4a
126aa70406
133c37189b
1424c23338
1516ad8c2c
hexec05146

247484742 has 32 divisors (see below), whose sum is σ = 524921472. Its totient is φ = 77518464.

The previous prime is 247484729. The next prime is 247484767.

247484742 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2474847422 = 122497395045613128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 247484694 and 247484703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78733 + ... + 81815.

It is an arithmetic number, because the mean of its divisors is an integer number (16403796).

Almost surely, 2247484742 is an apocalyptic number.

247484742 is an abundant number, since it is smaller than the sum of its proper divisors (277436730).

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

247484742 is a wasteful number, since it uses less digits than its factorization.

247484742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892.

The product of its digits is 401408, while the sum is 42.

The square root of 247484742 is about 15731.6477840053. The cubic root of 247484742 is about 627.8407154821.

The spelling of 247484742 in words is "two hundred forty-seven million, four hundred eighty-four thousand, seven hundred forty-two".

Divisors: 1 2 3 6 17 34 51 102 787 1574 2361 3083 4722 6166 9249 13379 18498 26758 40137 52411 80274 104822 157233 314466 2426321 4852642 7278963 14557926 41247457 82494914 123742371 247484742