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4759953920 = 2952278191
BaseRepresentation
bin1000110111011011…
…10010001000000000
3110021201200201020122
410123231302020000
534222022011140
62104154155412
7225645640451
oct43355621000
913251621218
104759953920
112022962917
12b0a122b68
135ab1c2aa7
14332257128
151ccd3bab5
hex11bb72200

4759953920 has 80 divisors (see below), whose sum is σ = 11464409088. Its totient is φ = 1895362560.

The previous prime is 4759953901. The next prime is 4759953949. The reversal of 4759953920 is 293599574.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×47599539202 = 45314322641046732800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 577025 + ... + 585215.

Almost surely, 24759953920 is an apocalyptic number.

4759953920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4759953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5732204544).

4759953920 is an abundant number, since it is smaller than the sum of its proper divisors (6704455168).

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

4759953920 is an equidigital number, since it uses as much as digits as its factorization.

4759953920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8441 (or 8425 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 53.

The square root of 4759953920 is about 68992.4192937166. The cubic root of 4759953920 is about 1682.1610888570.

The spelling of 4759953920 in words is "four billion, seven hundred fifty-nine million, nine hundred fifty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 227 256 320 454 512 640 908 1135 1280 1816 2270 2560 3632 4540 7264 8191 9080 14528 16382 18160 29056 32764 36320 40955 58112 65528 72640 81910 116224 131056 145280 163820 262112 290560 327640 524224 581120 655280 1048448 1310560 1859357 2096896 2621120 3718714 4193792 5242240 7437428 9296785 10484480 14874856 18593570 20968960 29749712 37187140 59499424 74374280 118998848 148748560 237997696 297497120 475995392 594994240 951990784 1189988480 2379976960 4759953920