Search a number
-
+
3742475 = 521131439
BaseRepresentation
bin1110010001101100001011
321001010201012
432101230023
51424224400
6212114135
743545002
oct16215413
97033635
103742475
112126860
12130594b
13a105a9
146d5c39
154ddd35
hex391b0b

3742475 has 24 divisors (see below), whose sum is σ = 5237760. Its totient is φ = 2628000.

The previous prime is 3742457. The next prime is 3742477. The reversal of 3742475 is 5742473.

3742475 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-3742475 is a prime.

It is a super-2 number, since 2×37424752 = 28012238251250, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3742477) 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 23 ways as a sum of consecutive naturals, for example, 8306 + ... + 8744.

It is an arithmetic number, because the mean of its divisors is an integer number (218240).

Almost surely, 23742475 is an apocalyptic number.

3742475 is a deficient number, since it is larger than the sum of its proper divisors (1495285).

3742475 is a wasteful number, since it uses less digits than its factorization.

3742475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 486 counting only the distinct ones).

The product of its digits is 23520, while the sum is 32.

The square root of 3742475 is about 1934.5477507676. The cubic root of 3742475 is about 155.2576360445.

The spelling of 3742475 in words is "three million, seven hundred forty-two thousand, four hundred seventy-five".

Divisors: 1 5 11 25 31 55 155 275 341 439 775 1705 2195 4829 8525 10975 13609 24145 68045 120725 149699 340225 748495 3742475