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54430128 = 2432431877
BaseRepresentation
bin1100111110100…
…0100110110000
310210102100002200
43033220212300
5102413231003
65222343200
71230435264
oct317504660
9123370080
1054430128
11287a7185
121628ab00
13b37999c
14732c0a4
154ba26a3
hex33e89b0

54430128 has 60 divisors (see below), whose sum is σ = 152856288. Its totient is φ = 18080640.

The previous prime is 54430127. The next prime is 54430153. The reversal of 54430128 is 82103445.

54430128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (54430127) 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 11 ways as a sum of consecutive naturals, for example, 61626 + ... + 62502.

Almost surely, 254430128 is an apocalyptic number.

It is an amenable number.

54430128 is an abundant number, since it is smaller than the sum of its proper divisors (98426160).

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

54430128 is a wasteful number, since it uses less digits than its factorization.

54430128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 54430128 is about 7377.6776833906. The cubic root of 54430128 is about 378.9772312236.

The spelling of 54430128 in words is "fifty-four million, four hundred thirty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 431 862 877 1293 1724 1754 2586 2631 3448 3508 3879 5172 5262 6896 7016 7758 7893 10344 10524 14032 15516 15786 20688 21048 31032 31572 42096 62064 63144 126288 377987 755974 1133961 1511948 2267922 3023896 3401883 4535844 6047792 6803766 9071688 13607532 18143376 27215064 54430128