Search a number
-
+
37007149 = 31297397
BaseRepresentation
bin1000110100101…
…0111100101101
32120122011021011
42031022330231
533433212044
63401105221
7626361364
oct215127455
976564234
1037007149
1119987023
1210488211
13788952a
144cb47db
1533b0134
hex234af2d

37007149 has 12 divisors (see below), whose sum is σ = 38730972. Its totient is φ = 35354880.

The previous prime is 37007143. The next prime is 37007153. The reversal of 37007149 is 94170073.

It can be written as a sum of positive squares in 2 ways, for example, as 20766249 + 16240900 = 4557^2 + 4030^2 .

It is not a de Polignac number, because 37007149 - 27 = 37007021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 37007149.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37007143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93019 + ... + 93415.

It is an arithmetic number, because the mean of its divisors is an integer number (3227581).

Almost surely, 237007149 is an apocalyptic number.

It is an amenable number.

37007149 is a deficient number, since it is larger than the sum of its proper divisors (1723823).

37007149 is an equidigital number, since it uses as much as digits as its factorization.

37007149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 37007149 is about 6083.3501460955. The cubic root of 37007149 is about 333.2436450924.

The spelling of 37007149 in words is "thirty-seven million, seven thousand, one hundred forty-nine".

Divisors: 1 31 97 397 961 3007 12307 38509 93217 381517 1193779 37007149