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54163242 = 23772961
BaseRepresentation
bin1100111010011…
…1011100101010
310202220210000000
43032213130222
5102331210432
65212523430
71225244220
oct316473452
9122823000
1054163242
1128634711
1216180576
13b2b5373
14729cb10
154b4d57c
hex33a772a

54163242 has 128 divisors (see below), whose sum is σ = 146419200. Its totient is φ = 14696640.

The previous prime is 54163211. The next prime is 54163253. The reversal of 54163242 is 24236145.

54163242 is a `hidden beast` number, since 5 + 416 + 3 + 242 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (5760) is a multiple of the sum of its prime factors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 887892 + ... + 887952.

It is an arithmetic number, because the mean of its divisors is an integer number (1143900).

Almost surely, 254163242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54163242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73209600).

54163242 is an abundant number, since it is smaller than the sum of its proper divisors (92255958).

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

54163242 is an equidigital number, since it uses as much as digits as its factorization.

54163242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 102 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 54163242 is about 7359.5680579773. The cubic root of 54163242 is about 378.3568059509.

Adding to 54163242 its reverse (24236145), we get a palindrome (78399387).

The spelling of 54163242 in words is "fifty-four million, one hundred sixty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 61 63 81 87 122 126 162 174 183 189 203 243 261 366 378 406 427 486 522 549 567 609 729 783 854 1098 1134 1218 1281 1458 1566 1647 1701 1769 1827 2187 2349 2562 3294 3402 3538 3654 3843 4374 4698 4941 5103 5307 5481 7047 7686 9882 10206 10614 10962 11529 12383 14094 14823 15309 15921 16443 21141 23058 24766 29646 30618 31842 32886 34587 37149 42282 44469 47763 49329 63423 69174 74298 88938 95526 98658 103761 111447 126846 133407 143289 147987 207522 222894 266814 286578 295974 311283 334341 429867 443961 622566 668682 859734 887922 933849 1003023 1289601 1867698 2006046 2579202 3009069 3868803 6018138 7737606 9027207 18054414 27081621 54163242