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51605092 = 227111311279
BaseRepresentation
bin1100010011011…
…0111001100100
310121002210212201
43010312321210
5101202330332
65042024244
71164431110
oct304667144
9117083781
1051605092
1127147740
1215348084
13a8cab76
146bd4740
1547e55e7
hex3136e64

51605092 has 48 divisors (see below), whose sum is σ = 113541120. Its totient is φ = 19936800.

The previous prime is 51605063. The next prime is 51605131. The reversal of 51605092 is 29050615.

51605092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 51605092.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39709 + ... + 40987.

It is an arithmetic number, because the mean of its divisors is an integer number (2365440).

Almost surely, 251605092 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 51605092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56770560).

51605092 is an abundant number, since it is smaller than the sum of its proper divisors (61936028).

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

51605092 is a wasteful number, since it uses less digits than its factorization.

51605092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 51605092 is about 7183.6684221921. The cubic root of 51605092 is about 372.3038427909.

The spelling of 51605092 in words is "fifty-one million, six hundred five thousand, ninety-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 131 154 262 308 524 917 1279 1441 1834 2558 2882 3668 5116 5764 8953 10087 14069 17906 20174 28138 35812 40348 56276 98483 167549 196966 335098 393932 670196 1172843 1843039 2345686 3686078 4691372 7372156 12901273 25802546 51605092