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51490728 = 23310109
BaseRepresentation
bin1100010001101…
…0111110101000
310120220000000000
43010122332220
5101140200403
65035343000
71163443512
oct304327650
9116800000
1051490728
1127079823
12152b1a60
13a88aab3
146ba4bb2
1547c17a3
hex311afa8

51490728 has 88 divisors (see below), whose sum is σ = 146145450. Its totient is φ = 17006112.

The previous prime is 51490727. The next prime is 51490781. The reversal of 51490728 is 82709415.

51490728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 39917124 + 11573604 = 6318^2 + 3402^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51490692 and 51490701.

It is not an unprimeable number, because it can be changed into a prime (51490723) by changing a digit.

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 21 ways as a sum of consecutive naturals, for example, 472338 + ... + 472446.

Almost surely, 251490728 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 51490728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73072725).

51490728 is an abundant number, since it is smaller than the sum of its proper divisors (94654722).

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

51490728 is an equidigital number, since it uses as much as digits as its factorization.

51490728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 51490728 is about 7175.7040072734. The cubic root of 51490728 is about 372.0286138240.

The spelling of 51490728 in words is "fifty-one million, four hundred ninety thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 109 162 216 218 243 324 327 436 486 648 654 729 872 972 981 1308 1458 1944 1962 2187 2616 2916 2943 3924 4374 5832 5886 6561 7848 8748 8829 11772 13122 17496 17658 19683 23544 26244 26487 35316 39366 52488 52974 59049 70632 78732 79461 105948 118098 157464 158922 211896 236196 238383 317844 472392 476766 635688 715149 953532 1430298 1907064 2145447 2860596 4290894 5721192 6436341 8581788 12872682 17163576 25745364 51490728