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4148037 = 33672293
BaseRepresentation
bin1111110100101101000101
321210202001000
433310231011
52030214122
6224523513
750154255
oct17645505
97722030
104148037
112383533
121480599
13b2307a
1479d965
1556e0ac
hex3f4b45

4148037 has 16 divisors (see below), whose sum is σ = 6239680. Its totient is φ = 2722896.

The previous prime is 4148029. The next prime is 4148041. The reversal of 4148037 is 7308414.

It is not a de Polignac number, because 4148037 - 23 = 4148029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

4148037 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 4148037.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4148057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 663 + ... + 2955.

It is an arithmetic number, because the mean of its divisors is an integer number (389980).

Almost surely, 24148037 is an apocalyptic number.

It is an amenable number.

4148037 is a deficient number, since it is larger than the sum of its proper divisors (2091643).

4148037 is a wasteful number, since it uses less digits than its factorization.

4148037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4148037 is about 2036.6730223578. The cubic root of 4148037 is about 160.6747158455.

The spelling of 4148037 in words is "four million, one hundred forty-eight thousand, thirty-seven".

Divisors: 1 3 9 27 67 201 603 1809 2293 6879 20637 61911 153631 460893 1382679 4148037