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5456385 = 3251173151
BaseRepresentation
bin10100110100001000000001
3101021012202100
4110310020001
52344101020
6312541013
764243554
oct24641001
911235670
105456385
113097510
1219b1769
13119073c
14a2069b
1572ba90
hex534201

5456385 has 48 divisors (see below), whose sum is σ = 10528128. Its totient is φ = 2592000.

The previous prime is 5456377. The next prime is 5456387. The reversal of 5456385 is 5836545.

It is not a de Polignac number, because 5456385 - 23 = 5456377 is a prime.

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (5456387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36060 + ... + 36210.

It is an arithmetic number, because the mean of its divisors is an integer number (219336).

Almost surely, 25456385 is an apocalyptic number.

5456385 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5456385 is a deficient number, since it is larger than the sum of its proper divisors (5071743).

5456385 is a wasteful number, since it uses less digits than its factorization.

5456385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 243 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 5456385 is about 2335.8906224393. The cubic root of 5456385 is about 176.0495835676.

The spelling of 5456385 in words is "five million, four hundred fifty-six thousand, three hundred eighty-five".

Divisors: 1 3 5 9 11 15 33 45 55 73 99 151 165 219 365 453 495 657 755 803 1095 1359 1661 2265 2409 3285 4015 4983 6795 7227 8305 11023 12045 14949 24915 33069 36135 55115 74745 99207 121253 165345 363759 496035 606265 1091277 1818795 5456385