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58772009 = 1729971229
BaseRepresentation
bin1110000000110…
…0101000101001
311002120221001002
43200030220221
5110021201014
65455404345
71312360652
oct340145051
9132527032
1058772009
11301a230a
12178236b5
13c23a04a
147b3c529
15525ddde
hex380ca29

58772009 has 16 divisors (see below), whose sum is σ = 65091600. Its totient is φ = 52813824.

The previous prime is 58771987. The next prime is 58772011. The reversal of 58772009 is 90027785.

It can be written as a sum of positive squares in 8 ways, for example, as 12054784 + 46717225 = 3472^2 + 6835^2 .

It is a cyclic number.

It is not a de Polignac number, because 58772009 - 212 = 58767913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58772039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47207 + ... + 48435.

It is an arithmetic number, because the mean of its divisors is an integer number (4068225).

Almost surely, 258772009 is an apocalyptic number.

It is an amenable number.

58772009 is a deficient number, since it is larger than the sum of its proper divisors (6319591).

58772009 is a wasteful number, since it uses less digits than its factorization.

58772009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372.

The product of its (nonzero) digits is 35280, while the sum is 38.

The square root of 58772009 is about 7666.2904327973. The cubic root of 58772009 is about 388.7975433559.

The spelling of 58772009 in words is "fifty-eight million, seven hundred seventy-two thousand, nine".

Divisors: 1 17 29 97 493 1229 1649 2813 20893 35641 47821 119213 605897 2026621 3457177 58772009