Search a number
-
+
33023052 = 2234227449
BaseRepresentation
bin111110111111…
…0010001001100
32022010202010000
41331332101030
531423214202
63135444300
7550456056
oct175762114
968122100
1033023052
1117705787
12b086690
136ac2c8a
1445588d6
152d7491c
hex1f7e44c

33023052 has 60 divisors (see below), whose sum is σ = 86902200. Its totient is φ = 10934784.

The previous prime is 33023051. The next prime is 33023057. The reversal of 33023052 is 25032033.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (33023051) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73324 + ... + 73772.

It is an arithmetic number, because the mean of its divisors is an integer number (1448370).

Almost surely, 233023052 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 33023052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43451100).

33023052 is an abundant number, since it is smaller than the sum of its proper divisors (53879148).

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

33023052 is a wasteful number, since it uses less digits than its factorization.

33023052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 33023052 is about 5746.5687153292. The cubic root of 33023052 is about 320.8281025665.

Adding to 33023052 its reverse (25032033), we get a palindrome (58055085).

The spelling of 33023052 in words is "thirty-three million, twenty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 227 324 449 454 681 898 908 1347 1362 1796 2043 2694 2724 4041 4086 5388 6129 8082 8172 12123 12258 16164 18387 24246 24516 36369 36774 48492 72738 73548 101923 145476 203846 305769 407692 611538 917307 1223076 1834614 2751921 3669228 5503842 8255763 11007684 16511526 33023052