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33242132 = 22711372917
BaseRepresentation
bin111111011001…
…1110000010100
32022112212122002
41332303300110
532002222012
63144254432
7552360560
oct176636024
968485562
1033242132
1117845340
12b171418
136b6b901
1445b46a0
152db97c2
hex1fb3c14

33242132 has 48 divisors (see below), whose sum is σ = 74514048. Its totient is φ = 12597120.

The previous prime is 33242119. The next prime is 33242147. The reversal of 33242132 is 23124233.

It is a super-2 number, since 2×332421322 = 2210078679810848, which contains 22 as substring.

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, 9938 + ... + 12854.

It is an arithmetic number, because the mean of its divisors is an integer number (1552376).

Almost surely, 233242132 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 33242132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37257024).

33242132 is an abundant number, since it is smaller than the sum of its proper divisors (41271916).

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

33242132 is a wasteful number, since it uses less digits than its factorization.

33242132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2976 (or 2974 counting only the distinct ones).

The product of its digits is 864, while the sum is 20.

The square root of 33242132 is about 5765.5990148466. The cubic root of 33242132 is about 321.5360137091.

Adding to 33242132 its reverse (23124233), we get a palindrome (56366365).

The spelling of 33242132 in words is "thirty-three million, two hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 37 44 74 77 148 154 259 308 407 518 814 1036 1628 2849 2917 5698 5834 11396 11668 20419 32087 40838 64174 81676 107929 128348 215858 224609 431716 449218 755503 898436 1187219 1511006 2374438 3022012 4748876 8310533 16621066 33242132