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33472428 = 223112391061
BaseRepresentation
bin111111110101…
…1111110101100
32022222120112120
41333223332230
532032104203
63153232540
7554340153
oct177537654
968876476
1033472428
1117992370
12b262750
136c1c692
14463459a
152e12b53
hex1febfac

33472428 has 48 divisors (see below), whose sum is σ = 85639680. Its totient is φ = 10091200.

The previous prime is 33472427. The next prime is 33472487. The reversal of 33472428 is 82427433.

It is a super-2 number, since 2×334724282 = 2240806872430368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33472423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31018 + ... + 32078.

It is an arithmetic number, because the mean of its divisors is an integer number (1784160).

Almost surely, 233472428 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 33472428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42819840).

33472428 is an abundant number, since it is smaller than the sum of its proper divisors (52167252).

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

33472428 is a wasteful number, since it uses less digits than its factorization.

33472428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1316 counting only the distinct ones).

The product of its digits is 32256, while the sum is 33.

The square root of 33472428 is about 5785.5361030764. The cubic root of 33472428 is about 322.2768217338.

It can be divided in two parts, 3347 and 2428, that added together give a palindrome (5775).

The spelling of 33472428 in words is "thirty-three million, four hundred seventy-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 239 478 717 956 1061 1434 2122 2629 2868 3183 4244 5258 6366 7887 10516 11671 12732 15774 23342 31548 35013 46684 70026 140052 253579 507158 760737 1014316 1521474 2789369 3042948 5578738 8368107 11157476 16736214 33472428