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51433256 = 23737103241
BaseRepresentation
bin1100010000110…
…0111100101000
310120210002011102
43010030330220
5101131331011
65034220532
71163114120
oct304147450
9116702142
1051433256
112703a626
1215284748
13a86a8a4
146b8bc80
1547ae73b
hex310cf28

51433256 has 64 divisors (see below), whose sum is σ = 114766080. Its totient is φ = 21150720.

The previous prime is 51433237. The next prime is 51433303. The reversal of 51433256 is 65233415.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213296 + ... + 213536.

It is an arithmetic number, because the mean of its divisors is an integer number (1793220).

Almost surely, 251433256 is an apocalyptic number.

51433256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51433256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57383040).

51433256 is an abundant number, since it is smaller than the sum of its proper divisors (63332824).

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

51433256 is a wasteful number, since it uses less digits than its factorization.

51433256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 390 counting only the distinct ones).

The product of its digits is 10800, while the sum is 29.

The square root of 51433256 is about 7171.6982647069. The cubic root of 51433256 is about 371.8901475458.

The spelling of 51433256 in words is "fifty-one million, four hundred thirty-three thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 37 56 74 103 148 206 241 259 296 412 482 518 721 824 964 1036 1442 1687 1928 2072 2884 3374 3811 5768 6748 7622 8917 13496 15244 17834 24823 26677 30488 35668 49646 53354 62419 71336 99292 106708 124838 173761 198584 213416 249676 347522 499352 695044 918451 1390088 1836902 3673804 6429157 7347608 12858314 25716628 51433256