Search a number
-
+
51011766 = 23213277787
BaseRepresentation
bin1100001010011…
…0000010110110
310112222122222200
43002212002312
5101024334031
65021205330
71156410231
oct302460266
9115878880
1051011766
1126881993
1215100846
13a750aa0
146abc418
1547298e6
hex30a60b6

51011766 has 48 divisors (see below), whose sum is σ = 119608944. Its totient is φ = 15619392.

The previous prime is 51011761. The next prime is 51011777. The reversal of 51011766 is 66711015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51011761) 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 23 ways as a sum of consecutive naturals, for example, 64425 + ... + 65211.

It is an arithmetic number, because the mean of its divisors is an integer number (2491853).

Almost surely, 251011766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51011766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59804472).

51011766 is an abundant number, since it is smaller than the sum of its proper divisors (68597178).

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

51011766 is a wasteful number, since it uses less digits than its factorization.

51011766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 51011766 is about 7142.2521658088. The cubic root of 51011766 is about 370.8714932858.

The spelling of 51011766 in words is "fifty-one million, eleven thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 277 554 787 831 1574 1662 2361 2493 3601 4722 4986 7083 7202 10231 10803 14166 20462 21606 30693 32409 61386 64818 92079 184158 217999 435998 653997 1307994 1961991 2833987 3923982 5667974 8501961 17003922 25505883 51011766