Search a number
-
+
33483996 = 22337133407
BaseRepresentation
bin111111110111…
…0110011011100
32100000011102000
41333232303130
532032441441
63153402300
7554415660
oct177566334
970004360
1033483996
11179a0027
12b269390
136c24a20
1446388a0
152e162b6
hex1feecdc

33483996 has 96 divisors (see below), whose sum is σ = 106874880. Its totient is φ = 8828352.

The previous prime is 33483991. The next prime is 33483997. The reversal of 33483996 is 69938433.

It is a super-2 number, since 2×334839962 = 2242355976256032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33483991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8125 + ... + 11531.

It is an arithmetic number, because the mean of its divisors is an integer number (1113280).

Almost surely, 233483996 is an apocalyptic number.

33483996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33483996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53437440).

33483996 is an abundant number, since it is smaller than the sum of its proper divisors (73390884).

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

33483996 is a wasteful number, since it uses less digits than its factorization.

33483996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3440 (or 3432 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 33483996 is about 5786.5357512073. The cubic root of 33483996 is about 322.3139435194.

The spelling of 33483996 in words is "thirty-three million, four hundred eighty-three thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2457 3276 3407 4914 6814 9828 10221 13628 20442 23849 30663 40884 44291 47698 61326 71547 88582 91989 95396 122652 132873 143094 177164 183978 214641 265746 286188 310037 367956 398619 429282 531492 620074 643923 797238 858564 930111 1195857 1240148 1287846 1594476 1860222 2391714 2575692 2790333 3720444 4783428 5580666 8370999 11161332 16741998 33483996