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52251444 = 223272191559
BaseRepresentation
bin1100011101010…
…0101100110100
310122022122111200
43013110230310
5101334021234
65103532500
71203062400
oct307245464
9118278450
1052251444
1127549313
12155ba130
13aa9611b
146d22100
1548c1d99
hex31d4b34

52251444 has 108 divisors (see below), whose sum is σ = 161834400. Its totient is φ = 14134176.

The previous prime is 52251401. The next prime is 52251449. The reversal of 52251444 is 44415225.

52251444 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 not an unprimeable number, because it can be changed into a prime (52251449) 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 35 ways as a sum of consecutive naturals, for example, 32737 + ... + 34295.

Almost surely, 252251444 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 52251444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80917200).

52251444 is an abundant number, since it is smaller than the sum of its proper divisors (109582956).

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

52251444 is a wasteful number, since it uses less digits than its factorization.

52251444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1590 counting only the distinct ones).

The product of its digits is 6400, while the sum is 27.

The square root of 52251444 is about 7228.5160302790. The cubic root of 52251444 is about 373.8517623895.

Adding to 52251444 its reverse (44415225), we get a palindrome (96666669).

The spelling of 52251444 in words is "fifty-two million, two hundred fifty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 49 57 63 76 84 98 114 126 133 147 171 196 228 252 266 294 342 399 441 532 588 684 798 882 931 1197 1559 1596 1764 1862 2394 2793 3118 3724 4677 4788 5586 6236 8379 9354 10913 11172 14031 16758 18708 21826 28062 29621 32739 33516 43652 56124 59242 65478 76391 88863 98217 118484 130956 152782 177726 196434 207347 229173 266589 305564 355452 392868 414694 458346 533178 622041 687519 829388 916692 1066356 1244082 1375038 1451429 1866123 2488164 2750076 2902858 3732246 4354287 5805716 7464492 8708574 13062861 17417148 26125722 52251444