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88026240 = 2735192127
BaseRepresentation
bin1010011111100…
…10110010000000
320010122012022010
411033302302000
5140013314430
612422412520
72116132161
oct517626200
9203565263
1088026240
1145763465
1225591140
1315310743
14b995768
157adbcb0
hex53f2c80

88026240 has 192 divisors, whose sum is σ = 298460160. Its totient is φ = 22063104.

The previous prime is 88026229. The next prime is 88026271. The reversal of 88026240 is 4262088.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 88026198 and 88026207.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 693057 + ... + 693183.

It is an arithmetic number, because the mean of its divisors is an integer number (1554480).

Almost surely, 288026240 is an apocalyptic number.

88026240 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 88026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149230080).

88026240 is an abundant number, since it is smaller than the sum of its proper divisors (210433920).

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

88026240 is a wasteful number, since it uses less digits than its factorization.

88026240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 88026240 is about 9382.2300121027. The cubic root of 88026240 is about 444.8402237488.

The spelling of 88026240 in words is "eighty-eight million, twenty-six thousand, two hundred forty".