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133288308 = 22331319421
BaseRepresentation
bin1111111000111…
…01000101110100
3100021210202012000
413330131011310
5233110211213
621120455300
73205634436
oct774350564
9307722160
10133288308
116926852a
123877a530
13217ca42a
14139b8656
15ba7cc73
hex7f1d174

133288308 has 48 divisors (see below), whose sum is σ = 348237120. Its totient is φ = 44085600.

The previous prime is 133288307. The next prime is 133288327. The reversal of 133288308 is 803882331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133288301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9438 + ... + 18858.

It is an arithmetic number, because the mean of its divisors is an integer number (7254940).

Almost surely, 2133288308 is an apocalyptic number.

133288308 is a gapful number since it is divisible by the number (18) 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 133288308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174118560).

133288308 is an abundant number, since it is smaller than the sum of its proper divisors (214948812).

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

133288308 is a wasteful number, since it uses less digits than its factorization.

133288308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9565 (or 9557 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 133288308 is about 11545.0555650460. The cubic root of 133288308 is about 510.8154428921.

The spelling of 133288308 in words is "one hundred thirty-three million, two hundred eighty-eight thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 131 262 393 524 786 1179 1572 2358 3537 4716 7074 9421 14148 18842 28263 37684 56526 84789 113052 169578 254367 339156 508734 1017468 1234151 2468302 3702453 4936604 7404906 11107359 14809812 22214718 33322077 44429436 66644154 133288308