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51327232 = 281121657
BaseRepresentation
bin1100001111001…
…1000100000000
310120120200201121
43003303010000
5101114432412
65032042024
71162163035
oct303630400
9116520647
1051327232
1126a77a00
1215233314
13a831558
146b6138c
15478d107
hex30f3100

51327232 has 54 divisors (see below), whose sum is σ = 112682654. Its totient is φ = 23316480.

The previous prime is 51327229. The next prime is 51327257. The reversal of 51327232 is 23272315.

It can be written as a sum of positive squares in only one way, i.e., 40144896 + 11182336 = 6336^2 + 3344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 51327197 and 51327206.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30148 + ... + 31804.

Almost surely, 251327232 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 51327232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56341327).

51327232 is an abundant number, since it is smaller than the sum of its proper divisors (61355422).

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

51327232 is a wasteful number, since it uses less digits than its factorization.

51327232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1670 counting only the distinct ones).

The product of its digits is 2520, while the sum is 25.

The square root of 51327232 is about 7164.3026178408. The cubic root of 51327232 is about 371.6344348793.

Adding to 51327232 its reverse (23272315), we get a palindrome (74599547).

The spelling of 51327232 in words is "fifty-one million, three hundred twenty-seven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1657 1936 2816 3314 3872 6628 7744 13256 15488 18227 26512 30976 36454 53024 72908 106048 145816 200497 212096 291632 400994 424192 583264 801988 1166528 1603976 2333056 3207952 4666112 6415904 12831808 25663616 51327232