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88003168 = 25112937233
BaseRepresentation
bin1010011111011…
…01001001100000
320010121000122121
411033231021200
5140012100133
612422114024
72116005001
oct517551140
9203530577
1088003168
11457480a0
122557b914
13153030a6
14b98b1a8
157ad502d
hex53ed260

88003168 has 96 divisors (see below), whose sum is σ = 201670560. Its totient is φ = 37416960.

The previous prime is 88003163. The next prime is 88003171. The reversal of 88003168 is 86130088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88003163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377580 + ... + 377812.

It is an arithmetic number, because the mean of its divisors is an integer number (2100735).

Almost surely, 288003168 is an apocalyptic number.

88003168 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 88003168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100835280).

88003168 is an abundant number, since it is smaller than the sum of its proper divisors (113667392).

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

88003168 is a wasteful number, since it uses less digits than its factorization.

88003168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 88003168 is about 9381.0003730945. Note that the first 3 decimals coincide. The cubic root of 88003168 is about 444.8013556020.

Subtracting from 88003168 its reverse (86130088), we obtain a triangular number (1873080 = T1935).

It can be divided in two parts, 8800 and 3168, that multiplied together give a square (27878400 = 52802).

The spelling of 88003168 in words is "eighty-eight million, three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 29 32 37 44 58 74 88 116 148 176 232 233 296 319 352 407 464 466 592 638 814 928 932 1073 1184 1276 1628 1864 2146 2552 2563 3256 3728 4292 5104 5126 6512 6757 7456 8584 8621 10208 10252 11803 13024 13514 17168 17242 20504 23606 27028 34336 34484 41008 47212 54056 68968 74327 82016 94424 94831 108112 137936 148654 188848 189662 216224 250009 275872 297308 377696 379324 500018 594616 758648 1000036 1189232 1517296 2000072 2378464 2750099 3034592 4000144 5500198 8000288 11000396 22000792 44001584 88003168