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4206601 = 722932
BaseRepresentation
bin10000000011000000001001
321220201101001
4100003000021
52034102401
6230055001
750520100
oct20030011
97821331
104206601
112413533
1214aa461
13b43919
147b7037
15581601
hex403009

4206601 has 9 divisors (see below), whose sum is σ = 4910151. Its totient is φ = 3593352.

The previous prime is 4206593. The next prime is 4206611. The reversal of 4206601 is 1066024.

The square root of 4206601 is 2051.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3980025 + 226576 = 1995^2 + 476^2 .

It is not a de Polignac number, because 4206601 - 23 = 4206593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4206611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14211 + ... + 14503.

Almost surely, 24206601 is an apocalyptic number.

4206601 is the 2051-st square number.

4206601 is the 1026-th centered octagonal number.

It is an amenable number.

4206601 is a deficient number, since it is larger than the sum of its proper divisors (703550).

4206601 is an frugal number, since it uses more digits than its factorization.

4206601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The cubic root of 4206601 is about 161.4273460931.

It can be divided in two parts, 420 and 6601, that added together give a triangular number (7021 = T118).

The spelling of 4206601 in words is "four million, two hundred six thousand, six hundred one".

Divisors: 1 7 49 293 2051 14357 85849 600943 4206601