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3782952 = 233252541
BaseRepresentation
bin1110011011100100101000
321010012020100
432123210220
51432023302
6213025400
744104005
oct16334450
97105210
103782952
112154208
121325260
13a25b44
147068ac
154ead1c
hex39b928

3782952 has 24 divisors (see below), whose sum is σ = 10245690. Its totient is φ = 1260960.

The previous prime is 3782939. The next prime is 3782953. The reversal of 3782952 is 2592873.

It is a happy number.

3782952 is digitally balanced in base 2, because in such base 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., 2056356 + 1726596 = 1434^2 + 1314^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 (3782953) 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, 26199 + ... + 26342.

Almost surely, 23782952 is an apocalyptic number.

It is an amenable number.

3782952 is an abundant number, since it is smaller than the sum of its proper divisors (6462738).

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

3782952 is a wasteful number, since it uses less digits than its factorization.

3782952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52553 (or 52546 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 3782952 is about 1944.9812338426. The cubic root of 3782952 is about 155.8153634103.

The spelling of 3782952 in words is "three million, seven hundred eighty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 52541 105082 157623 210164 315246 420328 472869 630492 945738 1260984 1891476 3782952