Search a number
-
+
51942688 = 257673461
BaseRepresentation
bin1100011000100…
…1010100100000
310121201221222021
43012021110200
5101244131223
65053151224
71200335260
oct306112440
9117657867
1051942688
1127358346
121548b514
13a9b8725
146c817a0
15486065d
hex3189520

51942688 has 48 divisors (see below), whose sum is σ = 118649664. Its totient is φ = 21922560.

The previous prime is 51942673. The next prime is 51942689. The reversal of 51942688 is 88624915.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (51942689) 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, 13278 + ... + 16738.

It is an arithmetic number, because the mean of its divisors is an integer number (2471868).

Almost surely, 251942688 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 51942688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59324832).

51942688 is an abundant number, since it is smaller than the sum of its proper divisors (66706976).

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

51942688 is a wasteful number, since it uses less digits than its factorization.

51942688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3545 (or 3537 counting only the distinct ones).

The product of its digits is 138240, while the sum is 43.

The square root of 51942688 is about 7207.1275831638. The cubic root of 51942688 is about 373.1139385550.

The spelling of 51942688 in words is "fifty-one million, nine hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 67 112 134 224 268 469 536 938 1072 1876 2144 3461 3752 6922 7504 13844 15008 24227 27688 48454 55376 96908 110752 193816 231887 387632 463774 775264 927548 1623209 1855096 3246418 3710192 6492836 7420384 12985672 25971344 51942688