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88010468 = 22721322657
BaseRepresentation
bin1010011111011…
…10111011100100
320010121101122222
411033232323210
5140012313333
612422211512
72116035200
oct517567344
9203541588
1088010468
1145752627
1225583b98
1315306500
14b98db00
157ad7298
hex53eeee4

88010468 has 54 divisors (see below), whose sum is σ = 194079186. Its totient is φ = 34804224.

The previous prime is 88010467. The next prime is 88010497. The reversal of 88010468 is 86401088.

It can be written as a sum of positive squares in 3 ways, for example, as 550564 + 87459904 = 742^2 + 9352^2 .

It is not an unprimeable number, because it can be changed into a prime (88010467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31796 + ... + 34452.

It is an arithmetic number, because the mean of its divisors is an integer number (3594059).

Almost surely, 288010468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88010468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97039593).

88010468 is an abundant number, since it is smaller than the sum of its proper divisors (106068718).

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

88010468 is a wasteful number, since it uses less digits than its factorization.

88010468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 88010468 is about 9381.3894493300. The cubic root of 88010468 is about 444.8136542506.

The spelling of 88010468 in words is "eighty-eight million, ten thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 637 676 1183 1274 2366 2548 2657 4732 5314 8281 10628 16562 18599 33124 34541 37198 69082 74396 130193 138164 241787 260386 449033 483574 520772 898066 967148 1692509 1796132 3143231 3385018 6286462 6770036 12572924 22002617 44005234 88010468