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6253488241 = 72112132792
BaseRepresentation
bin1011101001011110…
…01010100001110001
3121010211001010011121
411310233022201301
5100301343110431
62512305542241
7310652526100
oct56457124161
917124033147
106253488241
112719a27300
121266344981
13788760100
14434756037
1526900a611
hex174bca871

6253488241 has 81 divisors (see below), whose sum is σ = 8769268683. Its totient is φ = 4441076640.

The previous prime is 6253488191. The next prime is 6253488287. The reversal of 6253488241 is 1428843526.

It is a happy number.

The square root of 6253488241 is 79079.

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

It can be written as a sum of positive squares in only one way, i.e., 925072225 + 5328416016 = 30415^2 + 72996^2 .

It is not a de Polignac number, because 6253488241 - 29 = 6253487729 is a prime.

It is a super-2 number, since 2×62534882412 = 78212230360650548162, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6253488541) 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 80 ways as a sum of consecutive naturals, for example, 79158040 + ... + 79158118.

Almost surely, 26253488241 is an apocalyptic number.

6253488241 is the 79079-th square number.

6253488241 is the 39540-th centered octagonal number.

It is an amenable number.

6253488241 is a deficient number, since it is larger than the sum of its proper divisors (2515780442).

6253488241 is a wasteful number, since it uses less digits than its factorization.

6253488241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 110 counting only the distinct ones).

The product of its digits is 368640, while the sum is 43.

The cubic root of 6253488241 is about 1842.3583733123.

It can be divided in two parts, 6253 and 488241, that added together give a palindrome (494494).

The spelling of 6253488241 in words is "six billion, two hundred fifty-three million, four hundred eighty-eight thousand, two hundred forty-one".

Divisors: 1 7 11 13 49 77 79 91 121 143 169 539 553 637 847 869 1001 1027 1183 1573 1859 3871 5929 6083 6241 7007 7189 8281 9559 11011 11297 13013 13351 20449 42581 43687 50323 66913 68651 77077 79079 81133 91091 93457 124267 143143 146861 305809 468391 480557 553553 567931 654199 755161 869869 892463 1002001 1028027 1054729 1615471 3363899 3975517 5286127 6089083 6247241 7196189 7383103 9817093 11308297 11602019 37002889 43730687 51681721 68719651 79158079 81214133 127622209 481037557 568498931 893355463 6253488241