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45256128 = 263415749
BaseRepresentation
bin1010110010100…
…0110111000000
310011011020201220
42230220313000
543041144003
64253555040
71056446031
oct254506700
9104136656
1045256128
1123600665
12131a5a80
1394b7098
146020a88
153e8e353
hex2b28dc0

45256128 has 56 divisors (see below), whose sum is σ = 122682000. Its totient is φ = 14714880.

The previous prime is 45256109. The next prime is 45256129. The reversal of 45256128 is 82165254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45256129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4998 + ... + 10746.

It is an arithmetic number, because the mean of its divisors is an integer number (2190750).

Almost surely, 245256128 is an apocalyptic number.

45256128 is a gapful number since it is divisible by the number (48) 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 45256128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61341000).

45256128 is an abundant number, since it is smaller than the sum of its proper divisors (77425872).

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

45256128 is a wasteful number, since it uses less digits than its factorization.

45256128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5805 (or 5795 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The square root of 45256128 is about 6727.2674987695. The cubic root of 45256128 is about 356.3628837716.

The spelling of 45256128 in words is "forty-five million, two hundred fifty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2624 3936 5749 7872 11498 17247 22996 34494 45992 68988 91984 137976 183968 235709 275952 367936 471418 551904 707127 942836 1103808 1414254 1885672 2828508 3771344 5657016 7542688 11314032 15085376 22628064 45256128