Search a number
-
+
88144848 = 243711229
BaseRepresentation
bin1010100000011…
…11101111010000
320010212020000000
411100033233100
5140031113343
612425130000
72120135031
oct520175720
9203766000
1088144848
1145834590
1225629900
131535271c
14b9c6a88
157b11ed3
hex540fbd0

88144848 has 160 divisors (see below), whose sum is σ = 280636800. Its totient is φ = 26593920.

The previous prime is 88144831. The next prime is 88144853. The reversal of 88144848 is 84844188.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 384798 + ... + 385026.

It is an arithmetic number, because the mean of its divisors is an integer number (1753980).

Almost surely, 288144848 is an apocalyptic number.

88144848 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88144848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140318400).

88144848 is an abundant number, since it is smaller than the sum of its proper divisors (192491952).

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

88144848 is a wasteful number, since it uses less digits than its factorization.

88144848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 245 counting only the distinct ones).

The product of its digits is 262144, while the sum is 45.

The square root of 88144848 is about 9388.5487696449. The cubic root of 88144848 is about 445.0399290856.

The spelling of 88144848 in words is "eighty-eight million, one hundred forty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 229 243 264 297 324 396 432 458 486 528 594 648 687 729 792 891 916 972 1188 1296 1374 1458 1584 1782 1832 1944 2061 2187 2376 2519 2673 2748 2916 3564 3664 3888 4122 4374 4752 5038 5346 5496 5832 6183 7128 7557 8019 8244 8748 10076 10692 10992 11664 12366 14256 15114 16038 16488 17496 18549 20152 21384 22671 24057 24732 30228 32076 32976 34992 37098 40304 42768 45342 48114 49464 55647 60456 64152 68013 74196 90684 96228 98928 111294 120912 128304 136026 148392 166941 181368 192456 204039 222588 272052 296784 333882 362736 384912 408078 445176 500823 544104 612117 667764 816156 890352 1001646 1088208 1224234 1335528 1632312 1836351 2003292 2448468 2671056 3264624 3672702 4006584 4896936 5509053 7345404 8013168 9793872 11018106 14690808 22036212 29381616 44072424 88144848