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54432945 = 335757601
BaseRepresentation
bin1100111110100…
…1010010110001
310210102110222000
43033221102301
5102413323240
65222404213
71230446430
oct317512261
9123373860
1054432945
11287a9306
1216290669
13b37b058
14732d117
154ba3430
hex33e94b1

54432945 has 32 divisors (see below), whose sum is σ = 110595840. Its totient is φ = 24883200.

The previous prime is 54432941. The next prime is 54432947. The reversal of 54432945 is 54923445.

It is a happy number.

It is not a de Polignac number, because 54432945 - 22 = 54432941 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54432941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27856 + ... + 29745.

It is an arithmetic number, because the mean of its divisors is an integer number (3456120).

Almost surely, 254432945 is an apocalyptic number.

It is an amenable number.

54432945 is an abundant number, since it is smaller than the sum of its proper divisors (56162895).

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

54432945 is a wasteful number, since it uses less digits than its factorization.

54432945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57622 (or 57616 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 54432945 is about 7377.8685946552. The cubic root of 54432945 is about 378.9837690271.

It can be divided in two parts, 544 and 32945, that added together give a square (33489 = 1832).

The spelling of 54432945 in words is "fifty-four million, four hundred thirty-two thousand, nine hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 57601 172803 288005 403207 518409 864015 1209621 1555227 2016035 2592045 3628863 6048105 7776135 10886589 18144315 54432945