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51069870 = 232517291151
BaseRepresentation
bin1100001011010…
…0001110101110
310120002121200200
43002310032232
5101033213440
65022334330
71160041515
oct302641656
9116077620
1051069870
1126911605
121512a3a6
13a771377
146ad567c
15473bc30
hex30b43ae

51069870 has 96 divisors (see below), whose sum is σ = 145566720. Its totient is φ = 12364800.

The previous prime is 51069857. The next prime is 51069881. The reversal of 51069870 is 7896015.

51069870 is a `hidden beast` number, since 510 + 69 + 87 + 0 = 666.

51069870 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 43795 + ... + 44945.

It is an arithmetic number, because the mean of its divisors is an integer number (1516320).

Almost surely, 251069870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51069870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72783360).

51069870 is an abundant number, since it is smaller than the sum of its proper divisors (94496850).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51069870 is a wasteful number, since it uses less digits than its factorization.

51069870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 51069870 is about 7146.3186326947. The cubic root of 51069870 is about 371.0122512743.

The spelling of 51069870 in words is "fifty-one million, sixty-nine thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 29 30 34 45 51 58 85 87 90 102 145 153 170 174 255 261 290 306 435 493 510 522 765 870 986 1151 1305 1479 1530 2302 2465 2610 2958 3453 4437 4930 5755 6906 7395 8874 10359 11510 14790 17265 19567 20718 22185 33379 34530 39134 44370 51795 58701 66758 97835 100137 103590 117402 166895 176103 195670 200274 293505 300411 333790 352206 500685 567443 587010 600822 880515 1001370 1134886 1502055 1702329 1761030 2837215 3004110 3404658 5106987 5674430 8511645 10213974 17023290 25534935 51069870