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51649213 = 7112172211
BaseRepresentation
bin1100010100000…
…1101010111101
310121012001101211
43011001222331
5101210233323
65043004421
71165003540
oct305015275
9117161354
1051649213
1127177900
1215369711
13a914c85
146c06857
15480370d
hex3141abd

51649213 has 36 divisors (see below), whose sum is σ = 69249376. Its totient is φ = 37699200.

The previous prime is 51649183. The next prime is 51649219. The reversal of 51649213 is 31294615.

51649213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-51649213 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51649219) 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 35 ways as a sum of consecutive naturals, for example, 244678 + ... + 244888.

Almost surely, 251649213 is an apocalyptic number.

It is an amenable number.

51649213 is a deficient number, since it is larger than the sum of its proper divisors (17600163).

51649213 is a wasteful number, since it uses less digits than its factorization.

51649213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 246 counting only the distinct ones).

The product of its digits is 6480, while the sum is 31.

The square root of 51649213 is about 7186.7386901153. The cubic root of 51649213 is about 372.4099159066.

It can be divided in two parts, 516 and 49213, that added together give a square (49729 = 2232).

The spelling of 51649213 in words is "fifty-one million, six hundred forty-nine thousand, two hundred thirteen".

Divisors: 1 7 11 17 77 119 121 187 211 289 847 1309 1477 2023 2057 2321 3179 3587 14399 16247 22253 25109 25531 34969 39457 60979 178717 244783 276199 426853 434027 670769 3038189 4695383 7378459 51649213