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54085788 = 22322383787
BaseRepresentation
bin1100111001010…
…0100010011100
310202202211202100
43032110202130
5102321221123
65211125100
71224502341
oct316244234
9122684670
1054085788
11285914a9
1216143790
13b289033
14727c7c8
154b35643
hex339489c

54085788 has 72 divisors (see below), whose sum is σ = 144563328. Its totient is φ = 17015328.

The previous prime is 54085781. The next prime is 54085813. The reversal of 54085788 is 88758045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54085781) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68331 + ... + 69117.

It is an arithmetic number, because the mean of its divisors is an integer number (2007824).

Almost surely, 254085788 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 54085788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72281664).

54085788 is an abundant number, since it is smaller than the sum of its proper divisors (90477540).

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

54085788 is a wasteful number, since it uses less digits than its factorization.

54085788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 54085788 is about 7354.3040459312. The cubic root of 54085788 is about 378.1763685238.

The spelling of 54085788 in words is "fifty-four million, eighty-five thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 83 92 138 166 207 249 276 332 414 498 747 787 828 996 1494 1574 1909 2361 2988 3148 3818 4722 5727 7083 7636 9444 11454 14166 17181 18101 22908 28332 34362 36202 54303 65321 68724 72404 108606 130642 162909 195963 217212 261284 325818 391926 587889 651636 783852 1175778 1502383 2351556 3004766 4507149 6009532 9014298 13521447 18028596 27042894 54085788