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4757688576 = 28344792
BaseRepresentation
bin1000110111001010…
…01001000100000000
3110021120102121210000
410123211021010000
534220432013301
62104033440000
7225620454114
oct43345110400
913246377700
104757688576
112021655933
12b09410000
135aa8ab954
14331c27744
151cca40786
hex11b949100

4757688576 has 135 divisors (see below), whose sum is σ = 14216245351. Its totient is φ = 1582585344.

The previous prime is 4757688563. The next prime is 4757688581. The reversal of 4757688576 is 6758867574.

The square root of 4757688576 is 68976.

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

4757688576 is a `hidden beast` number, since 4 + 7 + 57 + 6 + 8 + 8 + 576 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9932305 + ... + 9932783.

Almost surely, 24757688576 is an apocalyptic number.

4757688576 is the 68976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4757688576

4757688576 is an abundant number, since it is smaller than the sum of its proper divisors (9458556775).

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

4757688576 is an frugal number, since it uses more digits than its factorization.

4757688576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 484 counting only the distinct ones).

The product of its digits is 79027200, while the sum is 63.

The cubic root of 4757688576 is about 1681.8941900399.

The spelling of 4757688576 in words is "four billion, seven hundred fifty-seven million, six hundred eighty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 479 576 648 768 864 958 1152 1296 1437 1728 1916 2304 2592 2874 3456 3832 4311 5184 5748 6912 7664 8622 10368 11496 12933 15328 17244 20736 22992 25866 30656 34488 38799 45984 51732 61312 68976 77598 91968 103464 122624 137952 155196 183936 206928 229441 275904 310392 367872 413856 458882 551808 620784 688323 827712 917764 1103616 1241568 1376646 1655424 1835528 2064969 2483136 2753292 3310848 3671056 4129938 4966272 5506584 6194907 7342112 8259876 9932544 11013168 12389814 14684224 16519752 18584721 22026336 24779628 29368448 33039504 37169442 44052672 49559256 58736896 66079008 74338884 88105344 99118512 132158016 148677768 176210688 198237024 264316032 297355536 396474048 528632064 594711072 792948096 1189422144 1585896192 2378844288 4757688576