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51993056 = 2529179313
BaseRepresentation
bin1100011001010…
…1100111100000
310121211112001202
43012111213200
5101302234211
65054220332
71200635153
oct306254740
9117745052
1051993056
1127392175
12154b46a8
13aa0562b
146c95c9a
15487053b
hex31959e0

51993056 has 48 divisors (see below), whose sum is σ = 106822800. Its totient is φ = 24880128.

The previous prime is 51993049. The next prime is 51993077. The reversal of 51993056 is 65039915.

It is a super-3 number, since 3×519930563 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165956 + ... + 166268.

It is an arithmetic number, because the mean of its divisors is an integer number (2225475).

Almost surely, 251993056 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 51993056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53411400).

51993056 is an abundant number, since it is smaller than the sum of its proper divisors (54829744).

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

51993056 is a wasteful number, since it uses less digits than its factorization.

51993056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 38.

The square root of 51993056 is about 7210.6210550826. The cubic root of 51993056 is about 373.2345004822.

The spelling of 51993056 in words is "fifty-one million, nine hundred ninety-three thousand, fifty-six".

Divisors: 1 2 4 8 16 29 32 58 116 179 232 313 358 464 626 716 928 1252 1432 2504 2864 5008 5191 5728 9077 10016 10382 18154 20764 36308 41528 56027 72616 83056 112054 145232 166112 224108 290464 448216 896432 1624783 1792864 3249566 6499132 12998264 25996528 51993056