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5257360381 = 7213172916741
BaseRepresentation
bin1001110010101110…
…01111001111111101
3111120101122120122011
410321113033033331
541231341013011
62225403251221
7244165553200
oct47127171775
914511576564
105257360381
112258708739
121028819b11
1365a27a540
1437c335937
1520b841621
hex1395cf3fd

5257360381 has 48 divisors (see below), whose sum is σ = 7214462640. Its totient is φ = 3779758080.

The previous prime is 5257360351. The next prime is 5257360397. The reversal of 5257360381 is 1830637525.

It can be written as a sum of positive squares in 8 ways, for example, as 401361156 + 4855999225 = 20034^2 + 69685^2 .

It is not a de Polignac number, because 5257360381 - 213 = 5257352189 is a prime.

It is a super-2 number, since 2×52573603812 = 55279676351416930322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5257360301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305671 + ... + 322411.

It is an arithmetic number, because the mean of its divisors is an integer number (150301305).

Almost surely, 25257360381 is an apocalyptic number.

It is an amenable number.

5257360381 is a deficient number, since it is larger than the sum of its proper divisors (1957102259).

5257360381 is a wasteful number, since it uses less digits than its factorization.

5257360381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16814 (or 16807 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 5257360381 is about 72507.6573956158. The cubic root of 5257360381 is about 1738.8251615957.

The spelling of 5257360381 in words is "five billion, two hundred fifty-seven million, three hundred sixty thousand, three hundred eighty-one".

Divisors: 1 7 13 17 29 49 91 119 203 221 377 493 637 833 1421 1547 2639 3451 6409 10829 16741 18473 24157 44863 117187 217633 284597 314041 485489 820309 1523431 1992179 3398423 3699761 6311357 8253313 10664017 13945253 23788961 25898327 44179499 57773191 107293069 181288289 309256493 404412337 751051483 5257360381