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133794048 = 2831953173
BaseRepresentation
bin1111111100110…
…00100100000000
3100022202102221010
413332120210000
5233222402143
621135400520
73213142053
oct776304400
9308672833
10133794048
11695834a3
1238983140
132194669b
1413aaaa9a
15bb2ca33
hex7f98900

133794048 has 144 divisors (see below), whose sum is σ = 384108480. Its totient is φ = 41213952.

The previous prime is 133794043. The next prime is 133794049. The reversal of 133794048 is 840497331.

It is a junction number, because it is equal to n+sod(n) for n = 133793997 and 133794015.

It is not an unprimeable number, because it can be changed into a prime (133794043) 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, 773290 + ... + 773462.

It is an arithmetic number, because the mean of its divisors is an integer number (2667420).

Almost surely, 2133794048 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 133794048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192054240).

133794048 is an abundant number, since it is smaller than the sum of its proper divisors (250314432).

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

133794048 is a wasteful number, since it uses less digits than its factorization.

133794048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 133794048 is about 11566.9377105611. The cubic root of 133794048 is about 511.4606951544.

The spelling of 133794048 in words is "one hundred thirty-three million, seven hundred ninety-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 53 57 64 76 96 106 114 128 152 159 173 192 212 228 256 304 318 346 384 424 456 519 608 636 692 768 848 912 1007 1038 1216 1272 1384 1696 1824 2014 2076 2432 2544 2768 3021 3287 3392 3648 4028 4152 4864 5088 5536 6042 6574 6784 7296 8056 8304 9169 9861 10176 11072 12084 13148 13568 14592 16112 16608 18338 19722 20352 22144 24168 26296 27507 32224 33216 36676 39444 40704 44288 48336 52592 55014 64448 66432 73352 78888 96672 105184 110028 128896 132864 146704 157776 174211 193344 210368 220056 257792 293408 315552 348422 386688 420736 440112 522633 586816 631104 696844 773376 841472 880224 1045266 1173632 1262208 1393688 1760448 2090532 2347264 2524416 2787376 3520896 4181064 5574752 7041792 8362128 11149504 16724256 22299008 33448512 44598016 66897024 133794048