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247485312 = 2732214831
BaseRepresentation
bin11101100000001…
…01001110000000
3122020200120000200
432300011032000
51001324012222
640320245200
76063406344
oct1660051600
9566616020
10247485312
11117776418
126aa70800
133c371c19
1424c23624
1516ad8eac
hexec05380

247485312 has 48 divisors (see below), whose sum is σ = 712168080. Its totient is φ = 82494720.

The previous prime is 247485299. The next prime is 247485361. The reversal of 247485312 is 213584742.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2474853122 = 122497959311474688, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 106264 + ... + 108567.

It is an arithmetic number, because the mean of its divisors is an integer number (14836835).

Almost surely, 2247485312 is an apocalyptic number.

It is an amenable number.

247485312 is an abundant number, since it is smaller than the sum of its proper divisors (464682768).

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

247485312 is a wasteful number, since it uses less digits than its factorization.

247485312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214851 (or 214836 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 247485312 is about 15731.6659003425. The cubic root of 247485312 is about 627.8411974901.

The spelling of 247485312 in words is "two hundred forty-seven million, four hundred eighty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 214831 429662 644493 859324 1288986 1718648 1933479 2577972 3437296 3866958 5155944 6874592 7733916 10311888 13749184 15467832 20623776 27498368 30935664 41247552 61871328 82495104 123742656 247485312