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5258583648 = 253220298999
BaseRepresentation
bin1001110010110111…
…11001111001100000
3111120110221201122100
410321123321321200
541232144134043
62225445410400
7244212136443
oct47133717140
914513851570
105258583648
1122593737aa
121029109a00
1365a5b8276
1437c57365a
1520b9d3cd3
hex1396f9e60

5258583648 has 72 divisors (see below), whose sum is σ = 14963130000. Its totient is φ = 1751802624.

The previous prime is 5258583647. The next prime is 5258583653. The reversal of 5258583648 is 8463858525.

5258583648 is a `hidden beast` number, since 5 + 2 + 58 + 583 + 6 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 5258583594 and 5258583603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5258583647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 579853 + ... + 588851.

It is an arithmetic number, because the mean of its divisors is an integer number (207821250).

Almost surely, 25258583648 is an apocalyptic number.

It is an amenable number.

5258583648 is an abundant number, since it is smaller than the sum of its proper divisors (9704546352).

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

5258583648 is a wasteful number, since it uses less digits than its factorization.

5258583648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11044 (or 11033 counting only the distinct ones).

The product of its digits is 9216000, while the sum is 54.

The square root of 5258583648 is about 72516.0923381838. The cubic root of 5258583648 is about 1738.9600126955.

The spelling of 5258583648 in words is "five billion, two hundred fifty-eight million, five hundred eighty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2029 4058 6087 8116 8999 12174 16232 17998 18261 24348 26997 32464 35996 36522 48696 53994 64928 71992 73044 80991 97392 107988 143984 146088 161982 194784 215976 287968 292176 323964 431952 584352 647928 863904 1295856 2591712 18258971 36517942 54776913 73035884 109553826 146071768 164330739 219107652 292143536 328661478 438215304 584287072 657322956 876430608 1314645912 1752861216 2629291824 5258583648