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3533472 = 253212269
BaseRepresentation
bin1101011110101010100000
320122112000100
431132222200
51401032342
6203422400
742014445
oct15365240
96575010
103533472
111aa3828
121224a00
13969417
1467d9cc
1549be4c
hex35eaa0

3533472 has 36 divisors (see below), whose sum is σ = 10049130. Its totient is φ = 1177728.

The previous prime is 3533471. The next prime is 3533477. The reversal of 3533472 is 2743353.

3533472 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2178576 + 1354896 = 1476^2 + 1164^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (3533471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5847 + ... + 6422.

Almost surely, 23533472 is an apocalyptic number.

3533472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3533472 is an abundant number, since it is smaller than the sum of its proper divisors (6515658).

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

3533472 is a wasteful number, since it uses less digits than its factorization.

3533472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12285 (or 12274 counting only the distinct ones).

The product of its digits is 7560, while the sum is 27.

The square root of 3533472 is about 1879.7531752866. The cubic root of 3533472 is about 152.3119171911.

It can be divided in two parts, 3533 and 472, that added together give a triangular number (4005 = T89).

The spelling of 3533472 in words is "three million, five hundred thirty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 12269 24538 36807 49076 73614 98152 110421 147228 196304 220842 294456 392608 441684 588912 883368 1177824 1766736 3533472