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247503940 = 22519136469
BaseRepresentation
bin11101100000010…
…01110001000100
3122020201111120121
432300021301010
51001330111230
640320511324
76063514555
oct1660116104
9566644517
10247503940
11117789412
126aa7b544
133c37a548
1424c2a32c
1516ade77a
hexec09c44

247503940 has 24 divisors (see below), whose sum is σ = 520110360. Its totient is φ = 98934528.

The previous prime is 247503931. The next prime is 247503967. The reversal of 247503940 is 49305742.

It can be written as a sum of positive squares in 4 ways, for example, as 15429184 + 232074756 = 3928^2 + 15234^2 .

It is a super-2 number, since 2×2475039402 = 122516400631047200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 247503896 and 247503905.

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 7 ways as a sum of consecutive naturals, for example, 35026 + ... + 41494.

It is an arithmetic number, because the mean of its divisors is an integer number (21671265).

Almost surely, 2247503940 is an apocalyptic number.

247503940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

247503940 is an abundant number, since it is smaller than the sum of its proper divisors (272606420).

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

247503940 is a wasteful number, since it uses less digits than its factorization.

247503940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8391 (or 8389 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 247503940 is about 15732.2579434740. The cubic root of 247503940 is about 627.8569494450.

The spelling of 247503940 in words is "two hundred forty-seven million, five hundred three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 1913 3826 6469 7652 9565 12938 19130 25876 32345 38260 64690 129380 12375197 24750394 49500788 61875985 123751970 247503940