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51942816 = 253379761
BaseRepresentation
bin1100011000100…
…1010110100000
310121201222011000
43012021112200
5101244132231
65053152000
71200335532
oct306112640
9117658130
1051942816
1127358452
121548b600
13a9b87c3
146c81852
1548606e6
hex31895a0

51942816 has 96 divisors (see below), whose sum is σ = 153619200. Its totient is φ = 17072640.

The previous prime is 51942773. The next prime is 51942851. The reversal of 51942816 is 61824915.

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

It is a super-2 number, since 2×519428162 = 5396112268019712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 67876 + ... + 68636.

It is an arithmetic number, because the mean of its divisors is an integer number (1600200).

Almost surely, 251942816 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 51942816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76809600).

51942816 is an abundant number, since it is smaller than the sum of its proper divisors (101676384).

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

51942816 is a wasteful number, since it uses less digits than its factorization.

51942816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 845 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 51942816 is about 7207.1364632564. The cubic root of 51942816 is about 373.1142450373.

The spelling of 51942816 in words is "fifty-one million, nine hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 79 96 108 144 158 216 237 288 316 432 474 632 711 761 864 948 1264 1422 1522 1896 2133 2283 2528 2844 3044 3792 4266 4566 5688 6088 6849 7584 8532 9132 11376 12176 13698 17064 18264 20547 22752 24352 27396 34128 36528 41094 54792 60119 68256 73056 82188 109584 120238 164376 180357 219168 240476 328752 360714 480952 541071 657504 721428 961904 1082142 1442856 1623213 1923808 2164284 2885712 3246426 4328568 5771424 6492852 8657136 12985704 17314272 25971408 51942816