Search a number
-
+
133354848 = 25311293431
BaseRepresentation
bin1111111001011…
…01010101100000
3100021221010110110
413330231111200
5233114323343
621122131320
73206332434
oct774552540
9307833413
10133354848
1169303520
12387b0b40
13218217c3
14139d49c4
15ba92833
hex7f2d560

133354848 has 96 divisors (see below), whose sum is σ = 384072192. Its totient is φ = 40179200.

The previous prime is 133354843. The next prime is 133354861. The reversal of 133354848 is 848453331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133354843) 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, 309193 + ... + 309623.

It is an arithmetic number, because the mean of its divisors is an integer number (4000752).

Almost surely, 2133354848 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 133354848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192036096).

133354848 is an abundant number, since it is smaller than the sum of its proper divisors (250717344).

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

133354848 is a wasteful number, since it uses less digits than its factorization.

133354848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 740 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 133354848 is about 11547.9369586087. The cubic root of 133354848 is about 510.9004316045.

The spelling of 133354848 in words is "one hundred thirty-three million, three hundred fifty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 293 352 431 528 586 862 879 1056 1172 1293 1724 1758 2344 2586 3223 3448 3516 4688 4741 5172 6446 6896 7032 9376 9482 9669 10344 12892 13792 14064 14223 18964 19338 20688 25784 28128 28446 37928 38676 41376 51568 56892 75856 77352 103136 113784 126283 151712 154704 227568 252566 309408 378849 455136 505132 757698 1010264 1389113 1515396 2020528 2778226 3030792 4041056 4167339 5556452 6061584 8334678 11112904 12123168 16669356 22225808 33338712 44451616 66677424 133354848