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247072449 = 31331204361
BaseRepresentation
bin11101011101000…
…00011011000001
3122012220120200110
432232200123001
51001222304244
640303341533
76060036561
oct1656403301
9565816613
10247072449
11117514208
126a8b18a9
133c259020
1424b56da1
1516a569b9
hexeba06c1

247072449 has 16 divisors (see below), whose sum is σ = 366216704. Its totient is φ = 147139200.

The previous prime is 247072439. The next prime is 247072459. The reversal of 247072449 is 944270742.

It is an interprime number because it is at equal distance from previous prime (247072439) and next prime (247072459).

It is a de Polignac number, because none of the positive numbers 2k-247072449 is a prime.

It is a super-2 number, since 2×2470724492 = 122089590109715202, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (247072429) 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 15 ways as a sum of consecutive naturals, for example, 100972 + ... + 103389.

It is an arithmetic number, because the mean of its divisors is an integer number (22888544).

Almost surely, 2247072449 is an apocalyptic number.

It is an amenable number.

247072449 is a deficient number, since it is larger than the sum of its proper divisors (119144255).

247072449 is a wasteful number, since it uses less digits than its factorization.

247072449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204408.

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 247072449 is about 15718.5383862495. The cubic root of 247072449 is about 627.4918748386.

The spelling of 247072449 in words is "two hundred forty-seven million, seventy-two thousand, four hundred forty-nine".

Divisors: 1 3 13 31 39 93 403 1209 204361 613083 2656693 6335191 7970079 19005573 82357483 247072449