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51256044 = 22337151449
BaseRepresentation
bin1100001110000…
…1101011101100
310120110002002000
43003201223230
5101110143134
65030332300
71161445350
oct303415354
9116402060
1051256044
1126a29474
12151ba090
13a808028
146b43460
154776e99
hex30e1aec

51256044 has 96 divisors (see below), whose sum is σ = 153216000. Its totient is φ = 14515200.

The previous prime is 51256033. The next prime is 51256081. The reversal of 51256044 is 44065215.

51256044 is a `hidden beast` number, since 51 + 2 + 5 + 604 + 4 = 666.

51256044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 51255999 and 51256017.

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 31 ways as a sum of consecutive naturals, for example, 113932 + ... + 114380.

It is an arithmetic number, because the mean of its divisors is an integer number (1596000).

Almost surely, 251256044 is an apocalyptic number.

51256044 is a gapful number since it is divisible by the number (54) 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 51256044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76608000).

51256044 is an abundant number, since it is smaller than the sum of its proper divisors (101959956).

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

51256044 is a wasteful number, since it uses less digits than its factorization.

51256044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 51256044 is about 7159.3326504640. The cubic root of 51256044 is about 371.4625433284.

The spelling of 51256044 in words is "fifty-one million, two hundred fifty-six thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 151 189 252 302 378 449 453 604 756 898 906 1057 1347 1359 1796 1812 2114 2694 2718 3143 3171 4041 4077 4228 5388 5436 6286 6342 8082 8154 9429 9513 12123 12572 12684 16164 16308 18858 19026 24246 28287 28539 37716 38052 48492 56574 57078 67799 84861 113148 114156 135598 169722 203397 271196 339444 406794 474593 610191 813588 949186 1220382 1423779 1830573 1898372 2440764 2847558 3661146 4271337 5695116 7322292 8542674 12814011 17085348 25628022 51256044