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53932228 = 22717293907
BaseRepresentation
bin1100110110111…
…1000011000100
310202111001002221
43031233003010
5102301312403
65203542124
71223262550
oct315570304
9122431087
1053932228
1128497099
121608a944
13b23417c
14723c860
154b04dbd
hex336f0c4

53932228 has 48 divisors (see below), whose sum is σ = 118177920. Its totient is φ = 20998656.

The previous prime is 53932223. The next prime is 53932243. The reversal of 53932228 is 82223935.

53932228 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 53932193 and 53932202.

It is not an unprimeable number, because it can be changed into a prime (53932223) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11851 + ... + 15757.

It is an arithmetic number, because the mean of its divisors is an integer number (2462040).

Almost surely, 253932228 is an apocalyptic number.

53932228 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53932228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59088960).

53932228 is an abundant number, since it is smaller than the sum of its proper divisors (64245692).

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

53932228 is a wasteful number, since it uses less digits than its factorization.

53932228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3964 (or 3962 counting only the distinct ones).

The product of its digits is 25920, while the sum is 34.

The square root of 53932228 is about 7343.8564800791. The cubic root of 53932228 is about 377.8181240134.

The spelling of 53932228 in words is "fifty-three million, nine hundred thirty-two thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 14 17 28 29 34 58 68 116 119 203 238 406 476 493 812 986 1972 3451 3907 6902 7814 13804 15628 27349 54698 66419 109396 113303 132838 226606 265676 453212 464933 793121 929866 1586242 1859732 1926151 3172484 3852302 7704604 13483057 26966114 53932228