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54076536 = 23323753383
BaseRepresentation
bin1100111001001…
…0010001111000
310202202101001200
43032102101320
5102320422121
65211014200
71224433353
oct316222170
9122671050
1054076536
1128585558
121613a360
13b284a67
14727929a
154b32a26
hex3392478

54076536 has 96 divisors (see below), whose sum is σ = 153653760. Its totient is φ = 17162496.

The previous prime is 54076501. The next prime is 54076543. The reversal of 54076536 is 63567045.

54076536 is a `hidden beast` number, since 54 + 0 + 76 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 54076536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141001 + ... + 141383.

It is an arithmetic number, because the mean of its divisors is an integer number (1600560).

Almost surely, 254076536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54076536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76826880).

54076536 is an abundant number, since it is smaller than the sum of its proper divisors (99577224).

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

54076536 is a wasteful number, since it uses less digits than its factorization.

54076536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 54076536 is about 7353.6749996175. The cubic root of 54076536 is about 378.1548034792.

The spelling of 54076536 in words is "fifty-four million, seventy-six thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 53 72 74 106 111 148 159 212 222 296 318 333 383 424 444 477 636 666 766 888 954 1149 1272 1332 1532 1908 1961 2298 2664 3064 3447 3816 3922 4596 5883 6894 7844 9192 11766 13788 14171 15688 17649 20299 23532 27576 28342 35298 40598 42513 47064 56684 60897 70596 81196 85026 113368 121794 127539 141192 162392 170052 182691 243588 255078 340104 365382 487176 510156 730764 751063 1020312 1461528 1502126 2253189 3004252 4506378 6008504 6759567 9012756 13519134 18025512 27038268 54076536