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3187872 = 253211069
BaseRepresentation
bin1100001010010010100000
312222221221100
430022102200
51304002442
6152154400
736045042
oct14122240
95887840
103187872
111888106
121098a00
1387801c
145cda92
1542e84c
hex30a4a0

3187872 has 36 divisors (see below), whose sum is σ = 9066330. Its totient is φ = 1062528.

The previous prime is 3187859. The next prime is 3187879. The reversal of 3187872 is 2787813.

It can be written as a sum of positive squares in only one way, i.e., 3111696 + 76176 = 1764^2 + 276^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3187879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5247 + ... + 5822.

Almost surely, 23187872 is an apocalyptic number.

3187872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3187872 is an abundant number, since it is smaller than the sum of its proper divisors (5878458).

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

3187872 is a wasteful number, since it uses less digits than its factorization.

3187872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11085 (or 11074 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 3187872 is about 1785.4612849345. The cubic root of 3187872 is about 147.1748578672.

The spelling of 3187872 in words is "three million, one hundred eighty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 11069 22138 33207 44276 66414 88552 99621 132828 177104 199242 265656 354208 398484 531312 796968 1062624 1593936 3187872