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5048347842 = 235191015413
BaseRepresentation
bin1001011001110011…
…11010110011000010
3111000211100122100000
410230321322303002
540314334112332
62152535340430
7236050151166
oct45471726302
914024318300
105048347842
11216072a4aa
12b8a821716
13625b88c95
1435c688ca6
151e8306b7c
hex12ce7acc2

5048347842 has 96 divisors (see below), whose sum is σ = 12060659520. Its totient is φ = 1578139200.

The previous prime is 5048347793. The next prime is 5048347849. The reversal of 5048347842 is 2487438405.

It is a happy number.

5048347842 is a `hidden beast` number, since 50 + 483 + 47 + 84 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (5048347849) 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 47 ways as a sum of consecutive naturals, for example, 929928 + ... + 935340.

It is an arithmetic number, because the mean of its divisors is an integer number (125631870).

Almost surely, 25048347842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5048347842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6030329760).

5048347842 is an abundant number, since it is smaller than the sum of its proper divisors (7012311678).

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

5048347842 is a wasteful number, since it uses less digits than its factorization.

5048347842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5550 (or 5538 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The square root of 5048347842 is about 71051.7265237095. The cubic root of 5048347842 is about 1715.4698531027.

The spelling of 5048347842 in words is "five billion, forty-eight million, three hundred forty-seven thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 101 114 162 171 202 243 303 342 486 513 606 909 1026 1539 1818 1919 2727 3078 3838 4617 5413 5454 5757 8181 9234 10826 11514 16239 16362 17271 24543 32478 34542 48717 49086 51813 97434 102847 103626 146151 155439 205694 292302 308541 310878 438453 466317 546713 617082 876906 925623 932634 1093426 1315359 1640139 1851246 2630718 2776869 3280278 4920417 5553738 8330607 9840834 10387547 14761251 16661214 20775094 24991821 29522502 31162641 44283753 49983642 62325282 88567506 93487923 132851259 186975846 265702518 280463769 560927538 841391307 1682782614 2524173921 5048347842