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52881696 = 25327171543
BaseRepresentation
bin1100100110111…
…0100100100000
310200111200001100
43021232210200
5102014203241
65125234400
71211326020
oct311564440
9120450040
1052881696
112793988a
1215862a00
13ac56c5a
147047a80
1549989b6
hex326e920

52881696 has 144 divisors (see below), whose sum is σ = 182093184. Its totient is φ = 14211072.

The previous prime is 52881683. The next prime is 52881709. The reversal of 52881696 is 69618825.

It is an interprime number because it is at equal distance from previous prime (52881683) and next prime (52881709).

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 33501 + ... + 35043.

It is an arithmetic number, because the mean of its divisors is an integer number (1264536).

Almost surely, 252881696 is an apocalyptic number.

52881696 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 52881696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91046592).

52881696 is an abundant number, since it is smaller than the sum of its proper divisors (129211488).

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

52881696 is a wasteful number, since it uses less digits than its factorization.

52881696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1572 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 52881696 is about 7271.9801979928. The cubic root of 52881696 is about 375.3488806521.

The spelling of 52881696 in words is "fifty-two million, eight hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 714 816 952 1008 1071 1224 1428 1543 1632 1904 2016 2142 2448 2856 3086 3808 4284 4629 4896 5712 6172 8568 9258 10801 11424 12344 13887 17136 18516 21602 24688 26231 27774 32403 34272 37032 43204 49376 52462 55548 64806 74064 78693 86408 97209 104924 111096 129612 148128 157386 172816 183617 194418 209848 222192 236079 259224 314772 345632 367234 388836 419696 444384 472158 518448 550851 629544 734468 777672 839392 944316 1036896 1101702 1259088 1468936 1555344 1652553 1888632 2203404 2518176 2937872 3110688 3305106 3777264 4406808 5875744 6610212 7554528 8813616 13220424 17627232 26440848 52881696