Search a number
-
+
57149005 = 597117833
BaseRepresentation
bin1101101000000…
…0011001001101
310222112110200211
43122000121031
5104112232010
65400522421
71262521114
oct332003115
9128473624
1057149005
112a293991
1217180411
13babc3a4
147838c7b
15503d08a
hex368064d

57149005 has 8 divisors (see below), whose sum is σ = 69286392. Its totient is φ = 45247488.

The previous prime is 57149003. The next prime is 57149023. The reversal of 57149005 is 50094175.

It can be written as a sum of positive squares in 4 ways, for example, as 161604 + 56987401 = 402^2 + 7549^2 .

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 57149005 - 21 = 57149003 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57149003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58432 + ... + 59401.

It is an arithmetic number, because the mean of its divisors is an integer number (8660799).

Almost surely, 257149005 is an apocalyptic number.

It is an amenable number.

57149005 is a deficient number, since it is larger than the sum of its proper divisors (12137387).

57149005 is a wasteful number, since it uses less digits than its factorization.

57149005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117935.

The product of its (nonzero) digits is 6300, while the sum is 31.

The square root of 57149005 is about 7559.6960917751. The cubic root of 57149005 is about 385.1851698233.

The spelling of 57149005 in words is "fifty-seven million, one hundred forty-nine thousand, five".

Divisors: 1 5 97 485 117833 589165 11429801 57149005