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54056145 = 35112132979
BaseRepresentation
bin1100111000110…
…1010011010001
310202201100002110
43032031103101
5102314244040
65210335533
71224320043
oct316152321
9122640073
1054056145
1128571200
121612a5a9
13b2786b0
147271a93
154b2b980
hex338d4d1

54056145 has 96 divisors (see below), whose sum is σ = 107251200. Its totient is φ = 23063040.

The previous prime is 54056143. The next prime is 54056147. The reversal of 54056145 is 54165045.

54056145 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 (54056143) and next prime (54056147).

It is not a de Polignac number, because 54056145 - 21 = 54056143 is a prime.

It is a super-2 number, since 2×540561452 = 5844133624522050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54056143) 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 95 ways as a sum of consecutive naturals, for example, 684216 + ... + 684294.

It is an arithmetic number, because the mean of its divisors is an integer number (1117200).

Almost surely, 254056145 is an apocalyptic number.

54056145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54056145 is a deficient number, since it is larger than the sum of its proper divisors (53195055).

54056145 is a wasteful number, since it uses less digits than its factorization.

54056145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 54056145 is about 7352.2884192610. The cubic root of 54056145 is about 378.1072663860.

Subtracting 54056145 from its reverse (54165045), we obtain a square (108900 = 3302).

The spelling of 54056145 in words is "fifty-four million, fifty-six thousand, one hundred forty-five".

Divisors: 1 3 5 11 13 15 29 33 39 55 65 79 87 121 143 145 165 195 237 319 363 377 395 429 435 605 715 869 957 1027 1131 1185 1573 1595 1815 1885 2145 2291 2607 3081 3509 4147 4345 4719 4785 5135 5655 6873 7865 9559 10527 11297 11455 12441 13035 15405 17545 20735 23595 25201 28677 29783 33891 34365 45617 47795 52635 56485 62205 75603 89349 124267 126005 136851 143385 148915 169455 228085 277211 327613 372801 378015 446745 621335 684255 831633 982839 1386055 1638065 1864005 3603743 4158165 4914195 10811229 18018715 54056145