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88055088 = 24311215161
BaseRepresentation
bin1010011111110…
…01110100110000
320010200122212120
411033321310300
5140020230323
612423154240
72116312242
oct517716460
9203618776
1088055088
1145783100
12255a5980
1315320904
14b9a2092
157ae55e3
hex53f9d30

88055088 has 60 divisors (see below), whose sum is σ = 250051704. Its totient is φ = 26681600.

The previous prime is 88055083. The next prime is 88055089.

88055088 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (88055083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1773 + ... + 13388.

Almost surely, 288055088 is an apocalyptic number.

88055088 is a gapful number since it is divisible by the number (88) 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 88055088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125025852).

88055088 is an abundant number, since it is smaller than the sum of its proper divisors (161996616).

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

88055088 is a wasteful number, since it uses less digits than its factorization.

88055088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15194 (or 15177 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 42.

The square root of 88055088 is about 9383.7672605409. The cubic root of 88055088 is about 444.8888128558. Note that the first 4 decimals are identical.

The spelling of 88055088 in words is "eighty-eight million, fifty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1936 2904 5808 15161 30322 45483 60644 90966 121288 166771 181932 242576 333542 363864 500313 667084 727728 1000626 1334168 1834481 2001252 2668336 3668962 4002504 5503443 7337924 8005008 11006886 14675848 22013772 29351696 44027544 88055088