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213376449 = 31113432269
BaseRepresentation
bin11001011011111…
…01110111000001
3112212111122110110
430231331313001
5414111021244
633101221533
75200445526
oct1455756701
9485448413
10213376449
11aa499980
125b5618a9
133528b970
14204a514d
1513aec9b9
hexcb7ddc1

213376449 has 48 divisors (see below), whose sum is σ = 343465920. Its totient is φ = 116161920.

The previous prime is 213376433. The next prime is 213376481. The reversal of 213376449 is 944673312.

It is not a de Polignac number, because 213376449 - 24 = 213376433 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (213376249) 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 47 ways as a sum of consecutive naturals, for example, 793087 + ... + 793355.

It is an arithmetic number, because the mean of its divisors is an integer number (7155540).

Almost surely, 2213376449 is an apocalyptic number.

It is an amenable number.

213376449 is a deficient number, since it is larger than the sum of its proper divisors (130089471).

213376449 is a wasteful number, since it uses less digits than its factorization.

213376449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 339 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 213376449 is about 14607.4107561881. The cubic root of 213376449 is about 597.5608840697.

The spelling of 213376449 in words is "two hundred thirteen million, three hundred seventy-six thousand, four hundred forty-nine".

Divisors: 1 3 11 13 33 39 43 129 143 269 429 473 559 807 1419 1677 1849 2959 3497 5547 6149 8877 10491 11567 18447 20339 24037 34701 38467 61017 72111 115401 127237 150371 264407 381711 451113 497381 793221 1492143 1654081 4962243 5471191 6465953 16413573 19397859 71125483 213376449