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88021248 = 283722339
BaseRepresentation
bin1010011111100…
…01100100000000
320010121221110020
411033301210000
5140013134443
612422333440
72116111500
oct517614400
9203557406
1088021248
114575a737
122558a280
131530b3a3
14b993a00
157ada583
hex53f1900

88021248 has 108 divisors (see below), whose sum is σ = 272628720. Its totient is φ = 25138176.

The previous prime is 88021217. The next prime is 88021249. The reversal of 88021248 is 84212088.

It is not an unprimeable number, because it can be changed into a prime (88021249) 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 11 ways as a sum of consecutive naturals, for example, 36463 + ... + 38801.

It is an arithmetic number, because the mean of its divisors is an integer number (2524340).

Almost surely, 288021248 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 88021248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136314360).

88021248 is an abundant number, since it is smaller than the sum of its proper divisors (184607472).

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

88021248 is a wasteful number, since it uses less digits than its factorization.

88021248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 88021248 is about 9381.9639734972. The cubic root of 88021248 is about 444.8318145731.

The spelling of 88021248 in words is "eighty-eight million, twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 588 672 768 784 896 1176 1344 1568 1792 2339 2352 2688 3136 4678 4704 5376 6272 7017 9356 9408 12544 14034 16373 18712 18816 28068 32746 37424 37632 49119 56136 65492 74848 98238 112272 114611 130984 149696 196476 224544 229222 261968 299392 343833 392952 449088 458444 523936 598784 687666 785904 898176 916888 1047872 1375332 1571808 1796352 1833776 2095744 2750664 3143616 3667552 4191488 5501328 6287232 7335104 11002656 12574464 14670208 22005312 29340416 44010624 88021248