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52028256 = 2537139557
BaseRepresentation
bin1100011001111…
…0001101100000
310121220022100110
43012132031200
5101304401011
65055051320
71201142610
oct306361540
9117808313
1052028256
1127406665
1215510b40
13aa18667
146ca4a40
15487aba6
hex319e360

52028256 has 96 divisors (see below), whose sum is σ = 157489920. Its totient is φ = 14731776.

The previous prime is 52028227. The next prime is 52028293. The reversal of 52028256 is 65282025.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93130 + ... + 93686.

It is an arithmetic number, because the mean of its divisors is an integer number (1640520).

Almost surely, 252028256 is an apocalyptic number.

52028256 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 52028256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78744960).

52028256 is an abundant number, since it is smaller than the sum of its proper divisors (105461664).

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

52028256 is a wasteful number, since it uses less digits than its factorization.

52028256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 52028256 is about 7213.0614859434. The cubic root of 52028256 is about 373.3187097447.

The spelling of 52028256 in words is "fifty-two million, twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 139 168 224 278 336 417 556 557 672 834 973 1112 1114 1668 1671 1946 2224 2228 2919 3336 3342 3892 3899 4448 4456 5838 6672 6684 7784 7798 8912 11676 11697 13344 13368 15568 15596 17824 23352 23394 26736 31136 31192 46704 46788 53472 62384 77423 93408 93576 124768 154846 187152 232269 309692 374304 464538 541961 619384 929076 1083922 1238768 1625883 1858152 2167844 2477536 3251766 3716304 4335688 6503532 7432608 8671376 13007064 17342752 26014128 52028256