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51889149 = 32132941373
BaseRepresentation
bin1100010111110…
…0001111111101
310121122020112100
43011330033331
5101240423044
65052055313
71200023214
oct305741775
9117566470
1051889149
11273210a4
1215464539
13a99a250
146c6a07b
15484e869
hex317c3fd

51889149 has 48 divisors (see below), whose sum is σ = 85765680. Its totient is φ = 29998080.

The previous prime is 51889147. The next prime is 51889153. The reversal of 51889149 is 94198815.

51889149 is a `hidden beast` number, since 518 + 8 + 91 + 49 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9548100 + 42341049 = 3090^2 + 6507^2 .

It is not a de Polignac number, because 51889149 - 21 = 51889147 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51889147) 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, 138927 + ... + 139299.

It is an arithmetic number, because the mean of its divisors is an integer number (1786785).

Almost surely, 251889149 is an apocalyptic number.

It is an amenable number.

51889149 is a deficient number, since it is larger than the sum of its proper divisors (33876531).

51889149 is a wasteful number, since it uses less digits than its factorization.

51889149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 459 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The square root of 51889149 is about 7203.4123163956. The cubic root of 51889149 is about 372.9857009711.

The spelling of 51889149 in words is "fifty-one million, eight hundred eighty-nine thousand, one hundred forty-nine".

Divisors: 1 3 9 13 29 39 41 87 117 123 261 369 373 377 533 1119 1131 1189 1599 3357 3393 3567 4797 4849 10701 10817 14547 15293 15457 32451 43641 45879 46371 97353 137637 139113 140621 198809 421863 443497 596427 1265589 1330491 1789281 3991473 5765461 17296383 51889149