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51062016 = 283173911
BaseRepresentation
bin1100001011001…
…0010100000000
310120002012220210
43002302110000
5101032441031
65022234120
71160006565
oct302622400
9116065823
1051062016
1126906715
1215125940
13a76a915
146ad286c
154739746
hex30b2500

51062016 has 72 divisors (see below), whose sum is σ = 143930304. Its totient is φ = 16015360.

The previous prime is 51062003. The next prime is 51062017. The reversal of 51062016 is 61026015.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 51061983 and 51062001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51062017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11101 + ... + 15011.

It is an arithmetic number, because the mean of its divisors is an integer number (1999032).

Almost surely, 251062016 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 51062016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71965152).

51062016 is an abundant number, since it is smaller than the sum of its proper divisors (92868288).

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

51062016 is a wasteful number, since it uses less digits than its factorization.

51062016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3947 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 51062016 is about 7145.7690978648. The cubic root of 51062016 is about 370.9932310600.

It can be divided in two parts, 510 and 62016, that added together give a palindrome (62526).

The spelling of 51062016 in words is "fifty-one million, sixty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 2176 3264 3911 4352 6528 7822 11733 13056 15644 23466 31288 46932 62576 66487 93864 125152 132974 187728 199461 250304 265948 375456 398922 500608 531896 750912 797844 1001216 1063792 1501824 1595688 2127584 3003648 3191376 4255168 6382752 8510336 12765504 17020672 25531008 51062016