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37054057 = 373532837
BaseRepresentation
bin1000110101011…
…0011001101001
32120201112121111
42031112121221
533441212212
63402110321
7626645215
oct215263151
976645544
1037054057
1119a09297
12104ab3a1
1378a49a1
144cc7945
1533bdea7
hex2356669

37054057 has 8 divisors (see below), whose sum is σ = 38176776. Its totient is φ = 35937792.

The previous prime is 37054051. The next prime is 37054063. The reversal of 37054057 is 75045073.

37054057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (37054051) and next prime (37054063).

It can be written as a sum of positive squares in 4 ways, for example, as 2702736 + 34351321 = 1644^2 + 5861^2 .

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 37054057 - 223 = 28665449 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (37054051) 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, 11643 + ... + 14479.

It is an arithmetic number, because the mean of its divisors is an integer number (4772097).

Almost surely, 237054057 is an apocalyptic number.

37054057 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

37054057 is a deficient number, since it is larger than the sum of its proper divisors (1122719).

37054057 is a wasteful number, since it uses less digits than its factorization.

37054057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227.

The product of its (nonzero) digits is 14700, while the sum is 31.

The square root of 37054057 is about 6087.2043665381. The cubic root of 37054057 is about 333.3843854029.

The spelling of 37054057 in words is "thirty-seven million, fifty-four thousand, fifty-seven".

Divisors: 1 37 353 2837 13061 104969 1001461 37054057