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52286016 = 2631783193
BaseRepresentation
bin1100011101110…
…1001001000000
310122101101221010
43013131021000
5101341123031
65104400520
71203265236
oct307351100
9118341833
1052286016
1127572292
1215616140
13aaa8a93
146d30956
1548cc246
hex31dd240

52286016 has 112 divisors (see below), whose sum is σ = 149010624. Its totient is φ = 16121856.

The previous prime is 52285991. The next prime is 52286051. The reversal of 52286016 is 61068225.

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 15 ways as a sum of consecutive naturals, for example, 270816 + ... + 271008.

It is an arithmetic number, because the mean of its divisors is an integer number (1330452).

Almost surely, 252286016 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 52286016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74505312).

52286016 is an abundant number, since it is smaller than the sum of its proper divisors (96724608).

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

52286016 is a wasteful number, since it uses less digits than its factorization.

52286016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 52286016 is about 7230.9069970509. The cubic root of 52286016 is about 373.9341968171.

The spelling of 52286016 in words is "fifty-two million, two hundred eighty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 83 96 102 136 166 192 193 204 249 272 332 386 408 498 544 579 664 772 816 996 1088 1158 1328 1411 1544 1632 1992 2316 2656 2822 3088 3264 3281 3984 4233 4632 5312 5644 6176 6562 7968 8466 9264 9843 11288 12352 13124 15936 16019 16932 18528 19686 22576 26248 32038 33864 37056 39372 45152 48057 52496 64076 67728 78744 90304 96114 104992 128152 135456 157488 192228 209984 256304 270912 272323 314976 384456 512608 544646 629952 768912 816969 1025216 1089292 1537824 1633938 2178584 3075648 3267876 4357168 6535752 8714336 13071504 17428672 26143008 52286016