Search a number
-
+
51352848 = 24322271571
BaseRepresentation
bin1100001111100…
…1010100010000
310120121222212100
43003321110100
5101121242343
65032400400
71162330521
oct303712420
9116558770
1051352848
1126a95178
1215246100
13a840101
146b6a848
1547959d3
hex30f9510

51352848 has 60 divisors (see below), whose sum is σ = 144441648. Its totient is φ = 17031360.

The previous prime is 51352841. The next prime is 51352853. The reversal of 51352848 is 84825315.

It is a happy number.

It is a super-2 number, since 2×513528482 = 5274229995422208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51352841) 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 11 ways as a sum of consecutive naturals, for example, 31903 + ... + 33473.

Almost surely, 251352848 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 51352848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72220824).

51352848 is an abundant number, since it is smaller than the sum of its proper divisors (93088800).

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

51352848 is a wasteful number, since it uses less digits than its factorization.

51352848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1803 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 51352848 is about 7166.0901473537. The cubic root of 51352848 is about 371.6962487486.

It can be divided in two parts, 513 and 52848, that added together give a square (53361 = 2312).

The spelling of 51352848 in words is "fifty-one million, three hundred fifty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 227 454 681 908 1362 1571 1816 2043 2724 3142 3632 4086 4713 5448 6284 8172 9426 10896 12568 14139 16344 18852 25136 28278 32688 37704 56556 75408 113112 226224 356617 713234 1069851 1426468 2139702 2852936 3209553 4279404 5705872 6419106 8558808 12838212 17117616 25676424 51352848