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54000045 = 3251143259
BaseRepresentation
bin1100110111111…
…1100110101101
310202121111010200
43031333212231
5102311000140
65205224113
71223664351
oct315774655
9122544120
1054000045
1128533040
1216102039
13b258cb8
147259461
154b1a030
hex337f9ad

54000045 has 72 divisors (see below), whose sum is σ = 106310880. Its totient is φ = 25139520.

The previous prime is 54000031. The next prime is 54000053.

It is a happy number.

54000045 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54000045 - 27 = 53999917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 53999991 and 54000027.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 915226 + ... + 915284.

It is an arithmetic number, because the mean of its divisors is an integer number (1476540).

Almost surely, 254000045 is an apocalyptic number.

54000045 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54000045 is a deficient number, since it is larger than the sum of its proper divisors (52310835).

54000045 is a wasteful number, since it uses less digits than its factorization.

54000045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 54000045 is about 7348.4722902111. The cubic root of 54000045 is about 377.9764199619.

It can be divided in two parts, 540000 and 45, that multiplied together give a 5-th power (24300000 = 305).

The spelling of 54000045 in words is "fifty-four million, forty-five", and thus it is an aban number.

Divisors: 1 3 5 9 11 15 33 43 45 55 59 99 129 165 177 215 295 387 473 495 531 645 649 885 1419 1849 1935 1947 2365 2537 2655 3245 4257 5547 5841 7095 7611 9245 9735 12685 16641 20339 21285 22833 27735 27907 29205 38055 61017 83205 83721 101695 109091 114165 139535 183051 251163 305085 327273 418605 545455 915255 981819 1200001 1255815 1636365 3600003 4909095 6000005 10800009 18000015 54000045