Search a number
-
+
37985397 = 323550513
BaseRepresentation
bin1001000011100…
…1110001110101
32122110212011120
42100321301311
534211013042
63434054153
7640604412
oct220716165
978425146
1037985397
111a494a9a
121087a359
137b3c888
14508b109
153504dec
hex2439c75

37985397 has 8 divisors (see below), whose sum is σ = 52849344. Its totient is φ = 24222528.

The previous prime is 37985369. The next prime is 37985407. The reversal of 37985397 is 79358973.

It is a happy number.

37985397 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 not a de Polignac number, because 37985397 - 212 = 37981301 is a prime.

It is a super-3 number, since 3×379853973 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37985897) 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, 275188 + ... + 275325.

It is an arithmetic number, because the mean of its divisors is an integer number (6606168).

Almost surely, 237985397 is an apocalyptic number.

It is an amenable number.

37985397 is a deficient number, since it is larger than the sum of its proper divisors (14863947).

37985397 is a wasteful number, since it uses less digits than its factorization.

37985397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550539.

The product of its digits is 1428840, while the sum is 51.

The square root of 37985397 is about 6163.2294294469. The cubic root of 37985397 is about 336.1544694368.

The spelling of 37985397 in words is "thirty-seven million, nine hundred eighty-five thousand, three hundred ninety-seven".

Divisors: 1 3 23 69 550513 1651539 12661799 37985397