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88806240 = 2533561337
BaseRepresentation
bin1010100101100…
…01001101100000
320012002211021000
411102301031200
5140213244430
612451232000
72125561215
oct522611540
9205084230
1088806240
1146146496
12258a8600
1315524793
14bb19b0c
157be2e60
hex54b1360

88806240 has 192 divisors, whose sum is σ = 316854720. Its totient is φ = 23224320.

The previous prime is 88806233. The next prime is 88806241. The reversal of 88806240 is 4260888.

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 = 88806195 and 88806204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88806241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 263352 + ... + 263688.

It is an arithmetic number, because the mean of its divisors is an integer number (1650285).

Almost surely, 288806240 is an apocalyptic number.

88806240 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 88806240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158427360).

88806240 is an abundant number, since it is smaller than the sum of its proper divisors (228048480).

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

88806240 is a wasteful number, since it uses less digits than its factorization.

88806240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 88806240 is about 9423.7062772563. The cubic root of 88806240 is about 446.1502707723.

The spelling of 88806240 in words is "eighty-eight million, eight hundred six thousand, two hundred forty".