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213742749 = 31122325601
BaseRepresentation
bin11001011110101…
…11010010011101
3112220012020221010
430233113102131
5414204231444
633113125433
75203532463
oct1457272235
9486166833
10213742749
11aa71a100
125b6b9879
13353895cc
142055c833
1513b712b9
hexcbd749d

213742749 has 24 divisors (see below), whose sum is σ = 326886336. Its totient is φ = 123904000.

The previous prime is 213742729. The next prime is 213742757. The reversal of 213742749 is 947247312.

It is not a de Polignac number, because 213742749 - 28 = 213742493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213742709) 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 23 ways as a sum of consecutive naturals, for example, 4452 + ... + 21149.

It is an arithmetic number, because the mean of its divisors is an integer number (13620264).

Almost surely, 2213742749 is an apocalyptic number.

It is an amenable number.

213742749 is a deficient number, since it is larger than the sum of its proper divisors (113143587).

213742749 is a wasteful number, since it uses less digits than its factorization.

213742749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25649 (or 25638 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 213742749 is about 14619.9435361427. The cubic root of 213742749 is about 597.9026297171.

The spelling of 213742749 in words is "two hundred thirteen million, seven hundred forty-two thousand, seven hundred forty-nine".

Divisors: 1 3 11 23 33 69 121 253 363 759 2783 8349 25601 76803 281611 588823 844833 1766469 3097721 6477053 9293163 19431159 71247583 213742749