Search a number
-
+
4753137249 = 3276672
BaseRepresentation
bin1000110110100111…
…10001111001100001
3110021020212101112100
410123103301321201
534213300342444
62103352121013
7225534000000
oct43323617141
913236771470
104753137249
11201a027403
12b07996169
135a9977163
143313a0c37
151cc441e69
hex11b4f1e61

4753137249 has 63 divisors (see below), whose sum is σ = 8131241937. Its totient is φ = 2675539944.

The previous prime is 4753137247. The next prime is 4753137251. The reversal of 4753137249 is 9427313574.

The square root of 4753137249 is 68943.

It is a perfect power (a square), and thus also a powerful number.

4753137249 is a `hidden beast` number, since 4 + 7 + 531 + 3 + 72 + 49 = 666.

It is an interprime number because it is at equal distance from previous prime (4753137247) and next prime (4753137251).

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 4753137249 - 21 = 4753137247 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4753137247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 70942314 + ... + 70942380.

Almost surely, 24753137249 is an apocalyptic number.

4753137249 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4753137249 is the 68943-rd square number.

4753137249 is the 34472-nd centered octagonal number.

It is an amenable number.

4753137249 is a deficient number, since it is larger than the sum of its proper divisors (3378104688).

4753137249 is an frugal number, since it uses more digits than its factorization.

4753137249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 77 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The cubic root of 4753137249 is about 1681.3577045487.

The spelling of 4753137249 in words is "four billion, seven hundred fifty-three million, one hundred thirty-seven thousand, two hundred forty-nine".

Divisors: 1 3 7 9 21 49 63 67 147 201 343 441 469 603 1029 1407 2401 3087 3283 4221 4489 7203 9849 13467 16807 21609 22981 29547 31423 40401 50421 68943 94269 117649 151263 160867 206829 219961 282807 352947 482601 659883 1058841 1126069 1447803 1539727 1979649 3378207 4619181 7882483 10134621 10778089 13857543 23647449 32334267 70942347 75446623 97002801 226339869 528126361 679019607 1584379083 4753137249