Search a number
-
+
2052417537 = 32281811553
BaseRepresentation
bin111101001010101…
…0110100000000001
312022000222121120100
41322111112200001
513200404330122
6535354233013
7101601155412
oct17225264001
95260877510
102052417537
11963599745
12493425769
1326929ac61
14156821809
15c02b8aac
hex7a556801

2052417537 has 12 divisors (see below), whose sum is σ = 2975156964. Its totient is φ = 1363407360.

The previous prime is 2052417517. The next prime is 2052417539. The reversal of 2052417537 is 7357142502.

2052417537 is a `hidden beast` number, since 205 + 2 + 417 + 5 + 37 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 724471056 + 1327946481 = 26916^2 + 36441^2 .

It is not a de Polignac number, because 2052417537 - 26 = 2052417473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2052417539) 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 11 ways as a sum of consecutive naturals, for example, 403248 + ... + 408305.

It is an arithmetic number, because the mean of its divisors is an integer number (247929747).

Almost surely, 22052417537 is an apocalyptic number.

It is an amenable number.

2052417537 is a deficient number, since it is larger than the sum of its proper divisors (922739427).

2052417537 is a wasteful number, since it uses less digits than its factorization.

2052417537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811840 (or 811837 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 2052417537 is about 45303.6150544303. The cubic root of 2052417537 is about 1270.8332591521.

The spelling of 2052417537 in words is "two billion, fifty-two million, four hundred seventeen thousand, five hundred thirty-seven".

Divisors: 1 3 9 281 843 2529 811553 2434659 7303977 228046393 684139179 2052417537