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3001252257 = 3447788351
BaseRepresentation
bin1011001011100011…
…0111100110100001
321202011101102010000
42302320313212201
522121310033012
61213451130213
7134242136403
oct26270674641
97664342100
103001252257
111300146273
126b9143969
1338aa32513
14206850b73
1512873eddc
hexb2e379a1

3001252257 has 20 divisors (see below), whose sum is σ = 4578748416. Its totient is φ = 1958261400.

The previous prime is 3001252237. The next prime is 3001252271. The reversal of 3001252257 is 7522521003.

It is not a de Polignac number, because 3001252257 - 211 = 3001250209 is a prime.

It is a super-2 number, since 2×30012522572 = 18015030220295188098, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 3001252257.

It is not an unprimeable number, because it can be changed into a prime (3001252237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 390369 + ... + 397982.

Almost surely, 23001252257 is an apocalyptic number.

It is an amenable number.

3001252257 is a deficient number, since it is larger than the sum of its proper divisors (1577496159).

3001252257 is an equidigital number, since it uses as much as digits as its factorization.

3001252257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788410 (or 788401 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 3001252257 is about 54783.6860479468. The cubic root of 3001252257 is about 1442.4502165166.

The spelling of 3001252257 in words is "three billion, one million, two hundred fifty-two thousand, two hundred fifty-seven".

Divisors: 1 3 9 27 47 81 141 423 1269 3807 788351 2365053 7095159 21285477 37052497 63856431 111157491 333472473 1000417419 3001252257