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247990941 = 321147223239
BaseRepresentation
bin11101100100000…
…00101010011101
3122021122020121200
432302000222131
51001441202231
640335150113
76100613442
oct1662005235
9567566550
10247990941
11117a912a0
126b075339
133c4bb103
1424d159c9
1516b88be6
hexec80a9d

247990941 has 48 divisors (see below), whose sum is σ = 402554880. Its totient is φ = 145827360.

The previous prime is 247990931. The next prime is 247990949. The reversal of 247990941 is 149099742.

It is a happy number.

247990941 is a `hidden beast` number, since 2 + 479 + 90 + 94 + 1 = 666.

It is not a de Polignac number, because 247990941 - 26 = 247990877 is a prime.

It is a super-2 number, since 2×2479909412 = 122999013636130962, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247990949) 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 47 ways as a sum of consecutive naturals, for example, 1037500 + ... + 1037738.

It is an arithmetic number, because the mean of its divisors is an integer number (8386560).

Almost surely, 2247990941 is an apocalyptic number.

It is an amenable number.

247990941 is a deficient number, since it is larger than the sum of its proper divisors (154563939).

247990941 is a wasteful number, since it uses less digits than its factorization.

247990941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 247990941 is about 15747.7281218594. The cubic root of 247990941 is about 628.2684804477.

The spelling of 247990941 in words is "two hundred forty-seven million, nine hundred ninety thousand, nine hundred forty-one".

Divisors: 1 3 9 11 33 47 99 141 223 239 423 517 669 717 1551 2007 2151 2453 2629 4653 7359 7887 10481 11233 22077 23661 31443 33699 53297 94329 101097 115291 123563 159891 345873 370689 479673 586267 1037619 1112067 1758801 2504959 5276403 7514877 22544631 27554549 82663647 247990941