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88439040 = 28345853
BaseRepresentation
bin1010100010101…
…11100100000000
320011102011120000
411101113210000
5140120022130
612435320000
72122501524
oct521274400
9204364500
1088439040
1145a15618
1225750000
13154265c1
14ba61d84
157b6e260
hex5457900

88439040 has 180 divisors, whose sum is σ = 316822044. Its totient is φ = 23556096.

The previous prime is 88439027. The next prime is 88439069. The reversal of 88439040 is 4093488.

It can be written as a sum of positive squares in 2 ways, for example, as 16257024 + 72182016 = 4032^2 + 8496^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×884390402 = 15642927592243200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 88438986 and 88439004.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103254 + ... + 104106.

Almost surely, 288439040 is an apocalyptic number.

88439040 is a gapful number since it is divisible by the number (80) 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 88439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158411022).

88439040 is an abundant number, since it is smaller than the sum of its proper divisors (228383004).

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

88439040 is an equidigital number, since it uses as much as digits as its factorization.

88439040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 863 counting only the distinct ones).

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

The square root of 88439040 is about 9404.2033155393. The cubic root of 88439040 is about 445.5345006101.

The spelling of 88439040 in words is "eighty-eight million, four hundred thirty-nine thousand, forty".