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5062249344 = 273192412879
BaseRepresentation
bin1001011011011101…
…11100101110000000
3111001210111220121110
410231232330232000
540331413434334
62154153323320
7236306260305
oct45556745600
914053456543
105062249344
112168564949
12b93406540
13628a15619
143604670ac
151e9650ae9
hex12dbbcb80

5062249344 has 128 divisors (see below), whose sum is σ = 14217984000. Its totient is φ = 1591418880.

The previous prime is 5062249321. The next prime is 5062249349. The reversal of 5062249344 is 4439422605.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5062249349) by changing a digit.

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, 1756897 + ... + 1759775.

It is an arithmetic number, because the mean of its divisors is an integer number (111078000).

Almost surely, 25062249344 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 5062249344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7108992000).

5062249344 is an abundant number, since it is smaller than the sum of its proper divisors (9155734656).

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

5062249344 is a wasteful number, since it uses less digits than its factorization.

5062249344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3156 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The square root of 5062249344 is about 71149.4859011645. The cubic root of 5062249344 is about 1717.0430246469.

The spelling of 5062249344 in words is "five billion, sixty-two million, two hundred forty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 241 304 384 456 482 608 723 912 964 1216 1446 1824 1928 2432 2879 2892 3648 3856 4579 5758 5784 7296 7712 8637 9158 11516 11568 13737 15424 17274 18316 23032 23136 27474 30848 34548 36632 46064 46272 54701 54948 69096 73264 92128 92544 109402 109896 138192 146528 164103 184256 218804 219792 276384 293056 328206 368512 437608 439584 552768 586112 656412 693839 875216 879168 1105536 1312824 1387678 1750432 1758336 2081517 2625648 2775356 3500864 4163034 5251296 5550712 7001728 8326068 10502592 11101424 13182941 16652136 21005184 22202848 26365882 33304272 39548823 44405696 52731764 66608544 79097646 88811392 105463528 133217088 158195292 210927056 266434176 316390584 421854112 632781168 843708224 1265562336 1687416448 2531124672 5062249344