Search a number
-
+
5257512576 = 27337871933
BaseRepresentation
bin1001110010101111…
…10100011010000000
3111120101221022102000
410321113310122000
541231410400301
62225410424000
7244200056001
oct47127643200
914511838360
105257512576
112258802018
121028892000
1365a3018b4
1437c3751a8
1520b871786
hex1395f4680

5257512576 has 128 divisors (see below), whose sum is σ = 15544718400. Its totient is φ = 1749371904.

The previous prime is 5257512571. The next prime is 5257512577. The reversal of 5257512576 is 6752157525.

5257512576 is a `hidden beast` number, since 5 + 2 + 5 + 75 + 1 + 2 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (5257512571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2718906 + ... + 2720838.

Almost surely, 25257512576 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 5257512576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7772359200).

5257512576 is an abundant number, since it is smaller than the sum of its proper divisors (10287205824).

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

5257512576 is a wasteful number, since it uses less digits than its factorization.

5257512576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743 (or 2725 counting only the distinct ones).

The product of its digits is 735000, while the sum is 45.

The square root of 5257512576 is about 72508.7068978616. The cubic root of 5257512576 is about 1738.8419404811.

The spelling of 5257512576 in words is "five billion, two hundred fifty-seven million, five hundred twelve thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 787 864 1152 1574 1728 1933 2361 3148 3456 3866 4722 5799 6296 7083 7732 9444 11598 12592 14166 15464 17397 18888 21249 23196 25184 28332 30928 34794 37776 42498 46392 50368 52191 56664 61856 69588 75552 84996 92784 100736 104382 113328 123712 139176 151104 169992 185568 208764 226656 247424 278352 302208 339984 371136 417528 453312 556704 679968 742272 835056 906624 1113408 1359936 1521271 1670112 2226816 2719872 3042542 3340224 4563813 6085084 6680448 9127626 12170168 13691439 18255252 24340336 27382878 36510504 41074317 48680672 54765756 73021008 82148634 97361344 109531512 146042016 164297268 194722688 219063024 292084032 328594536 438126048 584168064 657189072 876252096 1314378144 1752504192 2628756288 5257512576