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51016104 = 23322953461
BaseRepresentation
bin1100001010011…
…1000110101000
310112222212221100
43002213012220
5101030003404
65021241400
71156425666
oct302470650
9115885840
1051016104
1126885177
1215103260
13a752a59
146abdc36
15472ad39
hex30a71a8

51016104 has 96 divisors (see below), whose sum is σ = 145945800. Its totient is φ = 16074240.

The previous prime is 51016087. The next prime is 51016151. The reversal of 51016104 is 40161015.

51016104 is a `hidden beast` number, since 51 + 0 + 1 + 610 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44756100 + 6260004 = 6690^2 + 2502^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 110434 + ... + 110894.

Almost surely, 251016104 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 51016104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72972900).

51016104 is an abundant number, since it is smaller than the sum of its proper divisors (94929696).

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

51016104 is a wasteful number, since it uses less digits than its factorization.

51016104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 51016104 is about 7142.5558450739. Note that the first 3 decimals coincide. The cubic root of 51016104 is about 370.8820058601.

Adding to 51016104 its reverse (40161015), we get a palindrome (91177119).

The spelling of 51016104 in words is "fifty-one million, sixteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 53 58 72 87 106 116 159 174 212 232 261 318 348 424 461 477 522 636 696 922 954 1044 1272 1383 1537 1844 1908 2088 2766 3074 3688 3816 4149 4611 5532 6148 8298 9222 11064 12296 13369 13833 16596 18444 24433 26738 27666 33192 36888 40107 48866 53476 55332 73299 80214 97732 106952 110664 120321 146598 160428 195464 219897 240642 293196 320856 439794 481284 586392 708557 879588 962568 1417114 1759176 2125671 2834228 4251342 5668456 6377013 8502684 12754026 17005368 25508052 51016104