Search a number
-
+
133908944 = 24132321217
BaseRepresentation
bin1111111101101…
…00100111010000
3100022222021112112
413332310213100
5233240041234
621142044452
73214131041
oct776644720
9308867475
10133908944
1169651854
1238a19728
1321986a80
1413ada8c8
15bb51ace
hex7fb49d0

133908944 has 60 divisors (see below), whose sum is σ = 292322436. Its totient is φ = 59068416.

The previous prime is 133908893. The next prime is 133909001. The reversal of 133908944 is 449809331.

It can be written as a sum of positive squares in 2 ways, for example, as 31494544 + 102414400 = 5612^2 + 10120^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109424 + ... + 110640.

Almost surely, 2133908944 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 133908944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146161218).

133908944 is an abundant number, since it is smaller than the sum of its proper divisors (158413492).

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

133908944 is a wasteful number, since it uses less digits than its factorization.

133908944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 133908944 is about 11571.9032142513. The cubic root of 133908944 is about 511.6070593499.

The spelling of 133908944 in words is "one hundred thirty-three million, nine hundred eight thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 529 598 1058 1196 1217 2116 2392 2434 4232 4784 4868 6877 8464 9736 13754 15821 19472 27508 27991 31642 55016 55982 63284 110032 111964 126568 223928 253136 363883 447856 643793 727766 1287586 1455532 2575172 2911064 5150344 5822128 8369309 10300688 16738618 33477236 66954472 133908944