Search a number
-
+
133349888 = 297291283
BaseRepresentation
bin1111111001011…
…00001000000000
3100021220212122202
413330230020000
5233114144023
621122052332
73206312120
oct774541000
9307825582
10133349888
11692aa821
12387aa0a8
132181c479
14139d2c80
15ba91128
hex7f2c200

133349888 has 80 divisors (see below), whose sum is σ = 315247680. Its totient is φ = 55136256.

The previous prime is 133349863. The next prime is 133349939. The reversal of 133349888 is 888943331.

It is a super-2 number, since 2×1333498882 = 35564385259225088, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 103295 + ... + 104577.

It is an arithmetic number, because the mean of its divisors is an integer number (3940596).

Almost surely, 2133349888 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 133349888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157623840).

133349888 is an abundant number, since it is smaller than the sum of its proper divisors (181897792).

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

133349888 is an equidigital number, since it uses as much as digits as its factorization.

133349888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1321 counting only the distinct ones).

The product of its digits is 497664, while the sum is 47.

The square root of 133349888 is about 11547.7221996375. The cubic root of 133349888 is about 510.8940973827.

The spelling of 133349888 in words is "one hundred thirty-three million, three hundred forty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 256 406 448 464 512 812 896 928 1283 1624 1792 1856 2566 3248 3584 3712 5132 6496 7424 8981 10264 12992 14848 17962 20528 25984 35924 37207 41056 51968 71848 74414 82112 103936 143696 148828 164224 260449 287392 297656 328448 520898 574784 595312 656896 1041796 1149568 1190624 2083592 2299136 2381248 4167184 4598272 4762496 8334368 9524992 16668736 19049984 33337472 66674944 133349888