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5257830176 = 2517219231301
BaseRepresentation
bin1001110010110010…
…00001111100100000
3111120102112110001222
410321121001330200
541232001031201
62225421314212
7244202550644
oct47131017440
914512473058
105257830176
1122589a96a5
121028a05968
1365a3b3321
1437c418c24
1520b8d591b
hex139641f20

5257830176 has 144 divisors (see below), whose sum is σ = 12087351360. Its totient is φ = 2240409600.

The previous prime is 5257830163. The next prime is 5257830191. The reversal of 5257830176 is 6710387525.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4040726 + ... + 4042026.

It is an arithmetic number, because the mean of its divisors is an integer number (83939940).

Almost surely, 25257830176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5257830176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6043675680).

5257830176 is an abundant number, since it is smaller than the sum of its proper divisors (6829521184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5257830176 is a wasteful number, since it uses less digits than its factorization.

5257830176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 44.

The square root of 5257830176 is about 72510.8969465969. The cubic root of 5257830176 is about 1738.8769535582.

The spelling of 5257830176 in words is "five billion, two hundred fifty-seven million, eight hundred thirty thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 17 19 23 32 34 38 46 68 76 92 136 152 184 272 289 304 323 368 391 437 544 578 608 646 736 782 874 1156 1292 1301 1564 1748 2312 2584 2602 3128 3496 4624 5168 5204 5491 6256 6647 6992 7429 9248 10336 10408 10982 12512 13294 13984 14858 20816 21964 22117 24719 26588 29716 29923 41632 43928 44234 49438 53176 59432 59846 87856 88468 98876 106352 118864 119692 126293 175712 176936 197752 212704 237728 239384 252586 353872 375989 395504 420223 478768 505172 508691 568537 707744 751978 791008 840446 957536 1010344 1017382 1137074 1503956 1680892 2020688 2034764 2274148 3007912 3361784 4041376 4069528 4548296 6015824 6723568 7143791 8139056 8647747 9096592 9665129 12031648 13447136 14287582 16278112 17295494 18193184 19330258 28575164 34590988 38660516 57150328 69181976 77321032 114300656 138363952 154642064 164307193 228601312 276727904 309284128 328614386 657228772 1314457544 2628915088 5257830176