Search a number
-
+
55172928 = 2631132543
BaseRepresentation
bin1101001001110…
…1111101000000
310211211002000210
43102131331000
5103111013203
65250314120
71236651006
oct322357500
9124732023
1055172928
1129164268
1216588940
13b579b05
147482a76
154c9c803
hex349df40

55172928 has 56 divisors (see below), whose sum is σ = 147328128. Its totient is φ = 18221056.

The previous prime is 55172917. The next prime is 55172977. The reversal of 55172928 is 82927155.

55172928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 20425 + ... + 22967.

Almost surely, 255172928 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 55172928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73664064).

55172928 is an abundant number, since it is smaller than the sum of its proper divisors (92155200).

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

55172928 is a wasteful number, since it uses less digits than its factorization.

55172928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671 (or 2661 counting only the distinct ones).

The product of its digits is 50400, while the sum is 39.

The square root of 55172928 is about 7427.8481406125. The cubic root of 55172928 is about 380.6933969423.

The spelling of 55172928 in words is "fifty-five million, one hundred seventy-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 192 226 339 452 678 904 1356 1808 2543 2712 3616 5086 5424 7232 7629 10172 10848 15258 20344 21696 30516 40688 61032 81376 122064 162752 244128 287359 488256 574718 862077 1149436 1724154 2298872 3448308 4597744 6896616 9195488 13793232 18390976 27586464 55172928