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247482540 = 22345152767
BaseRepresentation
bin11101100000001…
…00100010101100
3122020200102020000
432300010202230
51001323420130
640320224300
76063365304
oct1660044254
9566612200
10247482540
11117774328
126aa6b090
133c370896
1424c22604
1516ad8260
hexec048ac

247482540 has 60 divisors (see below), whose sum is σ = 776366976. Its totient is φ = 65994912.

The previous prime is 247482509. The next prime is 247482541. The reversal of 247482540 is 45284742.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×2474825402 = 122495215209703200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 247482495 and 247482504.

It is not an unprimeable number, because it can be changed into a prime (247482541) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 74764 + ... + 78003.

Almost surely, 2247482540 is an apocalyptic number.

247482540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

247482540 is an abundant number, since it is smaller than the sum of its proper divisors (528884436).

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

247482540 is a wasteful number, since it uses less digits than its factorization.

247482540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152788 (or 152777 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 247482540 is about 15731.5777975383. The cubic root of 247482540 is about 627.8388534018.

The spelling of 247482540 in words is "two hundred forty-seven million, four hundred eighty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 152767 305534 458301 611068 763835 916602 1374903 1527670 1833204 2291505 2749806 3055340 4124709 4583010 5499612 6874515 8249418 9166020 12374127 13749030 16498836 20623545 24748254 27498060 41247090 49496508 61870635 82494180 123741270 247482540