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54399345 = 35711133623
BaseRepresentation
bin1100111110000…
…1000101110001
310210100202212120
43033201011301
5102411234340
65221544453
71230246450
oct317410561
9123322776
1054399345
1128786040
1216275129
13b368980
147320b97
154b984d0
hex33e1171

54399345 has 64 divisors (see below), whose sum is σ = 116895744. Its totient is φ = 20862720.

The previous prime is 54399341. The next prime is 54399349.

It is a happy number.

54399345 is nontrivially palindromic in base 10.

54399345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54399341) and next prime (54399349).

It is not a de Polignac number, because 54399345 - 22 = 54399341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54399297 and 54399306.

It is not an unprimeable number, because it can be changed into a prime (54399341) 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 63 ways as a sum of consecutive naturals, for example, 13204 + ... + 16826.

It is an arithmetic number, because the mean of its divisors is an integer number (1826496).

Almost surely, 254399345 is an apocalyptic number.

54399345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54399345 is an abundant number, since it is smaller than the sum of its proper divisors (62496399).

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

54399345 is a wasteful number, since it uses less digits than its factorization.

54399345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662.

The product of its digits is 291600, while the sum is 42.

The square root of 54399345 is about 7375.5911627476. The cubic root of 54399345 is about 378.9057741313.

The spelling of 54399345 in words is "fifty-four million, three hundred ninety-nine thousand, three hundred forty-five".

Divisors: 1 3 5 7 11 13 15 21 33 35 39 55 65 77 91 105 143 165 195 231 273 385 429 455 715 1001 1155 1365 2145 3003 3623 5005 10869 15015 18115 25361 39853 47099 54345 76083 119559 126805 141297 199265 235495 278971 329693 380415 518089 597795 706485 836913 989079 1394855 1554267 1648465 2590445 3626623 4184565 4945395 7771335 10879869 18133115 54399345