Search a number
-
+
32133052 = 2275359367
BaseRepresentation
bin111101010010…
…0111110111100
32020110112021001
41322210332330
531211224202
63104420044
7540061240
oct172447674
966415231
1032133052
1117158046
12a917624
136870b53
1443a6420
152c4ad87
hex1ea4fbc

32133052 has 48 divisors (see below), whose sum is σ = 66769920. Its totient is φ = 13246272.

The previous prime is 32133029. The next prime is 32133089. The reversal of 32133052 is 25033123.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87373 + ... + 87739.

It is an arithmetic number, because the mean of its divisors is an integer number (1391040).

Almost surely, 232133052 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 32133052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33384960).

32133052 is an abundant number, since it is smaller than the sum of its proper divisors (34636868).

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

32133052 is a wasteful number, since it uses less digits than its factorization.

32133052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 32133052 is about 5668.6022968630. The cubic root of 32133052 is about 317.9196163002.

Adding to 32133052 its reverse (25033123), we get a palindrome (57166175).

The spelling of 32133052 in words is "thirty-two million, one hundred thirty-three thousand, fifty-two".

Divisors: 1 2 4 7 14 28 53 59 106 118 212 236 367 371 413 734 742 826 1468 1484 1652 2569 3127 5138 6254 10276 12508 19451 21653 21889 38902 43306 43778 77804 86612 87556 136157 151571 272314 303142 544628 606284 1147609 2295218 4590436 8033263 16066526 32133052