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55742128 = 2413377243
BaseRepresentation
bin1101010010100…
…0111010110000
310212212222211021
43110220322300
5103232222003
65310425224
71244541331
oct324507260
9125788737
1055742128
1129512982
1216802214
13b718c10
147590288
154d612bd
hex3528eb0

55742128 has 40 divisors (see below), whose sum is σ = 119468048. Its totient is φ = 25028352.

The previous prime is 55742119. The next prime is 55742129. The reversal of 55742128 is 82124755.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 55742093 and 55742102.

It is not an unprimeable number, because it can be changed into a prime (55742129) 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, 4075 + ... + 11317.

Almost surely, 255742128 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 55742128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59734024).

55742128 is an abundant number, since it is smaller than the sum of its proper divisors (63725920).

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

55742128 is a wasteful number, since it uses less digits than its factorization.

55742128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7301 (or 7295 counting only the distinct ones).

The product of its digits is 22400, while the sum is 34.

The square root of 55742128 is about 7466.0650948140. The cubic root of 55742128 is about 381.9980811833.

The spelling of 55742128 in words is "fifty-five million, seven hundred forty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 592 962 1924 3848 7243 7696 14486 28972 57944 94159 115888 188318 267991 376636 535982 753272 1071964 1506544 2143928 3483883 4287856 6967766 13935532 27871064 55742128