Search a number
-
+
5757007575 = 352113101571
BaseRepresentation
bin1010101110010010…
…01111011011010111
3112212012211021201210
411113021033123113
543242243220300
62351132352503
7262443520434
oct52711173327
915765737653
105757007575
112494754000
121148015733
1370993ab77
143c8838b8b
1523a63a050
hex15724f6d7

5757007575 has 96 divisors (see below), whose sum is σ = 10591536384. Its totient is φ = 2758800000.

The previous prime is 5757007573. The next prime is 5757007577.

5757007575 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (5757007573) and next prime (5757007577).

It is not a de Polignac number, because 5757007575 - 21 = 5757007573 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5757007573) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10082040 + ... + 10082610.

It is an arithmetic number, because the mean of its divisors is an integer number (110328504).

Almost surely, 25757007575 is an apocalyptic number.

5757007575 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5757007575 is a deficient number, since it is larger than the sum of its proper divisors (4834528809).

5757007575 is a wasteful number, since it uses less digits than its factorization.

5757007575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 1500625, while the sum is 48.

The square root of 5757007575 is about 75874.9469522055. The cubic root of 5757007575 is about 1792.2514219895.

The spelling of 5757007575 in words is "five billion, seven hundred fifty-seven million, seven thousand, five hundred seventy-five".

Divisors: 1 3 5 11 15 25 33 55 75 101 121 165 275 303 363 505 571 605 825 1111 1331 1515 1713 1815 2525 2855 3025 3333 3993 5555 6281 6655 7575 8565 9075 12221 14275 16665 18843 19965 27775 31405 33275 36663 42825 57671 61105 69091 83325 94215 99825 134431 157025 173013 183315 207273 288355 305525 345455 403293 471075 634381 672155 760001 865065 916575 1036365 1441775 1727275 1903143 2016465 2280003 3171905 3360775 3800005 4325325 5181825 6978191 9515715 10082325 11400015 15859525 19000025 20934573 34890955 47578575 57000075 76760101 104672865 174454775 230280303 383800505 523364325 1151401515 1919002525 5757007575