Search a number
-
+
54111888 = 243443971
BaseRepresentation
bin1100111001101…
…0111010010000
310202211011120000
43032122322100
5102323040023
65211450000
71224641415
oct316327220
9122734500
1054111888
11285aa076
1216156900
13b297b8c
14728810c
154b3d243
hex339ae90

54111888 has 100 divisors (see below), whose sum is σ = 160422768. Its totient is φ = 17599680.

The previous prime is 54111877. The next prime is 54111913. The reversal of 54111888 is 88811145.

It is a happy number.

54111888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 55243 + ... + 56213.

Almost surely, 254111888 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 54111888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80211384).

54111888 is an abundant number, since it is smaller than the sum of its proper divisors (106310880).

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

54111888 is a wasteful number, since it uses less digits than its factorization.

54111888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1019 counting only the distinct ones).

The product of its digits is 10240, while the sum is 36.

The square root of 54111888 is about 7356.0783030090. The cubic root of 54111888 is about 378.2371905148.

The spelling of 54111888 in words is "fifty-four million, one hundred eleven thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 81 86 108 129 144 162 172 216 258 324 344 387 432 516 648 688 774 971 1032 1161 1296 1548 1942 2064 2322 2913 3096 3483 3884 4644 5826 6192 6966 7768 8739 9288 11652 13932 15536 17478 18576 23304 26217 27864 34956 41753 46608 52434 55728 69912 78651 83506 104868 125259 139824 157302 167012 209736 250518 314604 334024 375777 419472 501036 629208 668048 751554 1002072 1127331 1258416 1503108 2004144 2254662 3006216 3381993 4509324 6012432 6763986 9018648 13527972 18037296 27055944 54111888