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33872141 = 536110477
BaseRepresentation
bin1000000100110…
…1100100001101
32100201212211202
42001031210031
532132402031
63205555245
7560623412
oct201154415
970655752
1033872141
1118135706
12b415b25
13702c5b4
1446da109
152e912cb
hex204d90d

33872141 has 8 divisors (see below), whose sum is σ = 35080344. Its totient is φ = 32685120.

The previous prime is 33872107. The next prime is 33872147. The reversal of 33872141 is 14127833.

It can be written as a sum of positive squares in 4 ways, for example, as 3786916 + 30085225 = 1946^2 + 5485^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33872141 is a prime.

It is a super-2 number, since 2×338721412 = 2294643871847762, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33872147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2006 + ... + 8471.

It is an arithmetic number, because the mean of its divisors is an integer number (4385043).

Almost surely, 233872141 is an apocalyptic number.

It is an amenable number.

33872141 is a deficient number, since it is larger than the sum of its proper divisors (1208203).

33872141 is a wasteful number, since it uses less digits than its factorization.

33872141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10591.

The product of its digits is 4032, while the sum is 29.

The square root of 33872141 is about 5819.9777490984. The cubic root of 33872141 is about 323.5545783262.

Adding to 33872141 its reverse (14127833), we get a palindrome (47999974).

The spelling of 33872141 in words is "thirty-three million, eight hundred seventy-two thousand, one hundred forty-one".

Divisors: 1 53 61 3233 10477 555281 639097 33872141