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128848608 = 2532763913
BaseRepresentation
bin1111010111000…
…01001011100000
322222110012001200
413223201023200
5230441123413
620441401200
73123123630
oct753411340
9288405050
10128848608
1166805959
1237199200
13209046a5
14131806c0
15b4a2573
hex7ae12e0

128848608 has 72 divisors (see below), whose sum is σ = 418764528. Its totient is φ = 36813312.

The previous prime is 128848607. The next prime is 128848613. The reversal of 128848608 is 806848821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128848607) 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 11 ways as a sum of consecutive naturals, for example, 29941 + ... + 33972.

It is an arithmetic number, because the mean of its divisors is an integer number (5816174).

Almost surely, 2128848608 is an apocalyptic number.

128848608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

128848608 is an abundant number, since it is smaller than the sum of its proper divisors (289915920).

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

128848608 is a wasteful number, since it uses less digits than its factorization.

128848608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63936 (or 63925 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 128848608 is about 11351.1500738912. The cubic root of 128848608 is about 505.0796959475.

The spelling of 128848608 in words is "one hundred twenty-eight million, eight hundred forty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 63913 127826 191739 255652 383478 447391 511304 575217 766956 894782 1022608 1150434 1342173 1533912 1789564 2045216 2300868 2684346 3067824 3579128 4026519 4601736 5368692 6135648 7158256 8053038 9203472 10737384 14316512 16106076 18406944 21474768 32212152 42949536 64424304 128848608