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128331008 = 281338561
BaseRepresentation
bin1111010011000…
…10110100000000
322221110220001022
413221202310000
5230323043013
620422325012
73115536611
oct751426400
9287426038
10128331008
1166491a93
1236b89768
1320782c10
1413087c08
15b3ee008
hex7a62d00

128331008 has 36 divisors (see below), whose sum is σ = 275872548. Its totient is φ = 59228160.

The previous prime is 128331001. The next prime is 128331019. The reversal of 128331008 is 800133821.

It can be written as a sum of positive squares in 2 ways, for example, as 24127744 + 104203264 = 4912^2 + 10208^2 .

It is a super-2 number, since 2×1283310082 = 32937695228592128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128331001) 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 3 ways as a sum of consecutive naturals, for example, 15953 + ... + 22608.

Almost surely, 2128331008 is an apocalyptic number.

It is an amenable number.

128331008 is an abundant number, since it is smaller than the sum of its proper divisors (147541540).

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

128331008 is an equidigital number, since it uses as much as digits as its factorization.

128331008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38590 (or 38576 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 128331008 is about 11328.3276788765. The cubic root of 128331008 is about 504.4024668023.

Adding to 128331008 its reverse (800133821), we get a palindrome (928464829).

The spelling of 128331008 in words is "one hundred twenty-eight million, three hundred thirty-one thousand, eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 38561 77122 154244 308488 501293 616976 1002586 1233952 2005172 2467904 4010344 4935808 8020688 9871616 16041376 32082752 64165504 128331008