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4000257 = 32444473
BaseRepresentation
bin1111010000101000000001
321112020022200
433100220001
52011002012
6221423413
746000362
oct17205001
97466280
104000257
1122924a8
12140ab69
13aa0a21
14761b69
155403dc
hex3d0a01

4000257 has 6 divisors (see below), whose sum is σ = 5778162. Its totient is φ = 2666832.

The previous prime is 4000237. The next prime is 4000261. The reversal of 4000257 is 7520004.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2359296 + 1640961 = 1536^2 + 1281^2 .

It is not a de Polignac number, because 4000257 - 211 = 3998209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4000237) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 222228 + ... + 222245.

It is an arithmetic number, because the mean of its divisors is an integer number (963027).

Almost surely, 24000257 is an apocalyptic number.

It is an amenable number.

4000257 is a deficient number, since it is larger than the sum of its proper divisors (1777905).

4000257 is a wasteful number, since it uses less digits than its factorization.

4000257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444479 (or 444476 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 4000257 is about 2000.0642489680. The cubic root of 4000257 is about 158.7435048079.

The spelling of 4000257 in words is "four million, two hundred fifty-seven", and thus it is an aban number.

Divisors: 1 3 9 444473 1333419 4000257