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51686052 = 223111731743
BaseRepresentation
bin1100010100101…
…0101010100100
310121020220221020
43011022222210
5101212423202
65043451140
71165216125
oct305125244
9117226836
1051686052
11271a2550
1215386ab0
13a928982
146c1604c
15480e5bc
hex314aaa4

51686052 has 96 divisors (see below), whose sum is σ = 143990784. Its totient is φ = 14246400.

The previous prime is 51686039. The next prime is 51686053. The reversal of 51686052 is 25068615.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (51686053) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 69193 + ... + 69935.

It is an arithmetic number, because the mean of its divisors is an integer number (1499904).

Almost surely, 251686052 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 51686052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71995392).

51686052 is an abundant number, since it is smaller than the sum of its proper divisors (92304732).

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

51686052 is a wasteful number, since it uses less digits than its factorization.

51686052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 51686052 is about 7189.3012177819. The cubic root of 51686052 is about 372.4984357996.

It can be divided in two parts, 516 and 86052, that added together give a palindrome (86568).

The spelling of 51686052 in words is "fifty-one million, six hundred eighty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 17 22 31 33 34 44 51 62 66 68 93 102 124 132 186 187 204 341 372 374 527 561 682 743 748 1023 1054 1122 1364 1486 1581 2046 2108 2229 2244 2972 3162 4092 4458 5797 6324 8173 8916 11594 12631 16346 17391 23033 23188 24519 25262 32692 34782 37893 46066 49038 50524 69099 69564 75786 92132 98076 138198 138941 151572 253363 276396 277882 391561 416823 506726 555764 760089 783122 833646 1013452 1174683 1520178 1566244 1667292 2349366 3040356 4307171 4698732 8614342 12921513 17228684 25843026 51686052