Search a number
-
+
33119424 = 2632134423
BaseRepresentation
bin111111001010…
…1110011000000
32022022122022100
41332111303000
531434310144
63141510400
7551340042
oct176256300
968278270
1033119424
1117771128
12b112400
136b27ac0
144581a92
152d93269
hex1f95cc0

33119424 has 84 divisors (see below), whose sum is σ = 102256336. Its totient is φ = 10188288.

The previous prime is 33119399. The next prime is 33119453. The reversal of 33119424 is 42491133.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5277 + ... + 9699.

Almost surely, 233119424 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 33119424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51128168).

33119424 is an abundant number, since it is smaller than the sum of its proper divisors (69136912).

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

33119424 is a wasteful number, since it uses less digits than its factorization.

33119424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4454 (or 4441 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 33119424 is about 5754.9477842983. The cubic root of 33119424 is about 321.1398930241.

The spelling of 33119424 in words is "thirty-three million, one hundred nineteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 4423 7488 8846 13269 17692 26538 35384 39807 53076 57499 70768 79614 106152 114998 141536 159228 172497 212304 229996 283072 318456 344994 424608 459992 517491 636912 689988 849216 919984 1034982 1273824 1379976 1839968 2069964 2547648 2759952 3679936 4139928 5519904 8279856 11039808 16559712 33119424