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88323840 = 28325111741
BaseRepresentation
bin1010100001110…
…11011100000000
320011012022112100
411100323130000
5140102330330
612433030400
72121511623
oct520733400
9204168470
1088323840
1145947010
12256b5400
13153b6037
14ba31dba
157b4a060
hex543b700

88323840 has 432 divisors, whose sum is σ = 361591776. Its totient is φ = 19660800.

The previous prime is 88323827. The next prime is 88323853. The reversal of 88323840 is 4832388.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (88323827) and next prime (88323853).

It is a super-2 number, since 2×883238402 = 15602201424691200, 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 = 88323795 and 88323804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2154220 + ... + 2154260.

It is an arithmetic number, because the mean of its divisors is an integer number (837018).

Almost surely, 288323840 is an apocalyptic number.

88323840 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 88323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180795888).

88323840 is an abundant number, since it is smaller than the sum of its proper divisors (273267936).

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

88323840 is a wasteful number, since it uses less digits than its factorization.

88323840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 88323840 is about 9398.0763989233. The cubic root of 88323840 is about 445.3409666382.

The spelling of 88323840 in words is "eighty-eight million, three hundred twenty-three thousand, eight hundred forty".