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51402768 = 24337103281
BaseRepresentation
bin1100010000010…
…1100000010000
310120201112100020
43010011200100
5101124342033
65033423440
71162626204
oct304054020
9116645306
1051402768
112701972a
121526ab80
13a859a51
146b80b04
1547a56b3
hex3105810

51402768 has 80 divisors (see below), whose sum is σ = 138193536. Its totient is φ = 16450560.

The previous prime is 51402763. The next prime is 51402779. The reversal of 51402768 is 86720415.

It is not an unprimeable number, because it can be changed into a prime (51402763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182788 + ... + 183068.

Almost surely, 251402768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51402768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69096768).

51402768 is an abundant number, since it is smaller than the sum of its proper divisors (86790768).

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

51402768 is a wasteful number, since it uses less digits than its factorization.

51402768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 51402768 is about 7169.5723721851. The cubic root of 51402768 is about 371.8166514673.

The spelling of 51402768 in words is "fifty-one million, four hundred two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 103 111 148 206 222 281 296 309 412 444 562 592 618 824 843 888 1124 1236 1648 1686 1776 2248 2472 3372 3811 4496 4944 6744 7622 10397 11433 13488 15244 20794 22866 28943 30488 31191 41588 45732 57886 60976 62382 83176 86829 91464 115772 124764 166352 173658 182928 231544 249528 347316 463088 499056 694632 1070891 1389264 2141782 3212673 4283564 6425346 8567128 12850692 17134256 25701384 51402768