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4811856952 = 2373111812347
BaseRepresentation
bin1000111101100111…
…10001110000111000
3110102100100122211011
410132303301300320
534323313410302
62113250443304
7230146052320
oct43663616070
913370318734
104811856952
11204a193391
12b23593534
135b8b96446
143390c8280
151d26905d7
hex11ecf1c38

4811856952 has 64 divisors (see below), whose sum is σ = 10657290240. Its totient is φ = 1993161600.

The previous prime is 4811856911. The next prime is 4811856967. The reversal of 4811856952 is 2596581184.

It is a junction number, because it is equal to n+sod(n) for n = 4811856896 and 4811856905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2049043 + ... + 2051389.

It is an arithmetic number, because the mean of its divisors is an integer number (166520160).

Almost surely, 24811856952 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 4811856952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5328645120).

4811856952 is an abundant number, since it is smaller than the sum of its proper divisors (5845433288).

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

4811856952 is a wasteful number, since it uses less digits than its factorization.

4811856952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3572 (or 3568 counting only the distinct ones).

The product of its digits is 691200, while the sum is 49.

The square root of 4811856952 is about 69367.5497044547. The cubic root of 4811856952 is about 1688.2531524743.

The spelling of 4811856952 in words is "four billion, eight hundred eleven million, eight hundred fifty-six thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 1181 1736 2347 2362 4694 4724 8267 9388 9448 16429 16534 18776 32858 33068 36611 65716 66136 72757 73222 131432 145514 146444 256277 291028 292888 509299 512554 582056 1018598 1025108 2037196 2050216 2771807 4074392 5543614 11087228 19402649 22174456 38805298 77610596 85926017 155221192 171852034 343704068 601482119 687408136 1202964238 2405928476 4811856952