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88998912 = 210342937
BaseRepresentation
bin1010100111000…
…00010000000000
320012110121120000
411103200100000
5140240431122
612455320000
72130323022
oct523402000
9205417500
1088998912
1146268222
1225980000
13155913a2
14bb6a012
157c300ac
hex54e0400

88998912 has 220 divisors, whose sum is σ = 282363180. Its totient is φ = 27869184.

The previous prime is 88998881. The next prime is 88998929. The reversal of 88998912 is 21989988.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 65028096 + 23970816 = 8064^2 + 4896^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2405358 + ... + 2405394.

It is an arithmetic number, because the mean of its divisors is an integer number (1283469).

Almost surely, 288998912 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 88998912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141181590).

88998912 is an abundant number, since it is smaller than the sum of its proper divisors (193364268).

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

88998912 is a wasteful number, since it uses less digits than its factorization.

88998912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 71 counting only the distinct ones).

The product of its digits is 746496, while the sum is 54.

The square root of 88998912 is about 9433.9234679957. The cubic root of 88998912 is about 446.4726902092.

It can be divided in two parts, 8 and 8998912, that multiplied together give a cube (71991296 = 4163).

The spelling of 88998912 in words is "eighty-eight million, nine hundred ninety-eight thousand, nine hundred twelve".