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88329042 = 2351710691
BaseRepresentation
bin1010100001111…
…00101101010010
320011012120200000
411100330231102
5140103012132
612433110430
72121533034
oct520745522
9204176600
1088329042
114594aa0a
12256b8416
13153b8509
14ba33c54
157b4b87c
hex543cb52

88329042 has 48 divisors (see below), whose sum is σ = 210161952. Its totient is φ = 27708480.

The previous prime is 88329001. The next prime is 88329061. The reversal of 88329042 is 24092388.

It is a junction number, because it is equal to n+sod(n) for n = 88328988 and 88329006.

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 23 ways as a sum of consecutive naturals, for example, 2917 + ... + 13607.

It is an arithmetic number, because the mean of its divisors is an integer number (4378374).

Almost surely, 288329042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88329042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105080976).

88329042 is an abundant number, since it is smaller than the sum of its proper divisors (121832910).

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

88329042 is a wasteful number, since it uses less digits than its factorization.

88329042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10725 (or 10713 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 88329042 is about 9398.3531536115. The cubic root of 88329042 is about 445.3497095334.

The spelling of 88329042 in words is "eighty-eight million, three hundred twenty-nine thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 918 1377 2754 4131 8262 10691 21382 32073 64146 96219 181747 192438 288657 363494 545241 577314 865971 1090482 1635723 1731942 2597913 3271446 4907169 5195826 9814338 14721507 29443014 44164521 88329042