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37057201 = 199720107
BaseRepresentation
bin1000110101011…
…1001010110001
32120201200220221
42031113022301
533441312301
63402133041
7626660326
oct215271261
976650827
1037057201
1119a10695
12104b1181
1378a624c
144cc8b4d
1533beda1
hex23572b1

37057201 has 8 divisors (see below), whose sum is σ = 39411680. Its totient is φ = 34743168.

The previous prime is 37057199. The next prime is 37057211. The reversal of 37057201 is 10275073.

37057201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 37057201 - 21 = 37057199 is a prime.

It is a super-2 number, since 2×370572012 = 2746472291908802, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37057211) 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 7 ways as a sum of consecutive naturals, for example, 8211 + ... + 11896.

It is an arithmetic number, because the mean of its divisors is an integer number (4926460).

Almost surely, 237057201 is an apocalyptic number.

It is an amenable number.

37057201 is a deficient number, since it is larger than the sum of its proper divisors (2354479).

37057201 is a wasteful number, since it uses less digits than its factorization.

37057201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20223.

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 37057201 is about 6087.4626076880. The cubic root of 37057201 is about 333.3938142477.

The spelling of 37057201 in words is "thirty-seven million, fifty-seven thousand, two hundred one".

Divisors: 1 19 97 1843 20107 382033 1950379 37057201