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5438076624 = 243244385247
BaseRepresentation
bin1010001000010001…
…00111011011010000
3112000222200220201100
411010020213123100
542114121422444
62255340504400
7251521613541
oct50410473320
915028626640
105438076624
11234071a502
12107924b100
13688842426
143983384c8
1521c63be69
hex1442276d0

5438076624 has 60 divisors (see below), whose sum is σ = 15253595136. Its totient is φ = 1808579136.

The previous prime is 5438076619. The next prime is 5438076629. The reversal of 5438076624 is 4266708345.

5438076624 is a `hidden beast` number, since 543 + 80 + 7 + 6 + 6 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (5438076619) and next prime (5438076629).

It is a self number, because there is not a number n which added to its sum of digits gives 5438076624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5438076629) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 21169 + ... + 106415.

Almost surely, 25438076624 is an apocalyptic number.

It is an amenable number.

5438076624 is an abundant number, since it is smaller than the sum of its proper divisors (9815518512).

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

5438076624 is a wasteful number, since it uses less digits than its factorization.

5438076624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85704 (or 85695 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 5438076624 is about 73743.3157920092. The cubic root of 5438076624 is about 1758.5245709828.

The spelling of 5438076624 in words is "five billion, four hundred thirty-eight million, seventy-six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 443 886 1329 1772 2658 3544 3987 5316 7088 7974 10632 15948 21264 31896 63792 85247 170494 255741 340988 511482 681976 767223 1022964 1363952 1534446 2045928 3068892 4091856 6137784 12275568 37764421 75528842 113293263 151057684 226586526 302115368 339879789 453173052 604230736 679759578 906346104 1359519156 1812692208 2719038312 5438076624