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88131888 = 2434135231
BaseRepresentation
bin1010100000011…
…00100100110000
320010211120020000
411100030210300
5140030210023
612424550000
72120052165
oct520144460
9203746200
1088131888
1145825879
1225622300
1315349860
14b9c206c
157b0d243
hex540c930

88131888 has 100 divisors (see below), whose sum is σ = 274753248. Its totient is φ = 27112320.

The previous prime is 88131881. The next prime is 88131889. The reversal of 88131888 is 88813188.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (88131881) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14233 + ... + 19463.

Almost surely, 288131888 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 88131888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137376624).

88131888 is an abundant number, since it is smaller than the sum of its proper divisors (186621360).

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

88131888 is a wasteful number, since it uses less digits than its factorization.

88131888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5264 (or 5249 counting only the distinct ones).

The product of its digits is 98304, while the sum is 45.

The square root of 88131888 is about 9387.8585417549. The cubic root of 88131888 is about 445.0181165035.

It can be divided in two parts, 8813 and 1888, that added together give a palindrome (10701).

The spelling of 88131888 in words is "eighty-eight million, one hundred thirty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5231 5616 8424 10462 15693 16848 20924 31386 41848 47079 62772 68003 83696 94158 125544 136006 141237 188316 204009 251088 272012 282474 376632 408018 423711 544024 564948 612027 753264 816036 847422 1088048 1129896 1224054 1632072 1694844 1836081 2259792 2448108 3264144 3389688 3672162 4896216 5508243 6779376 7344324 9792432 11016486 14688648 22032972 29377296 44065944 88131888