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5083762350 = 2352296717443
BaseRepresentation
bin1001011110000010…
…00000111010101110
3111010021222212220110
410233001000322232
540402420343400
62200242400450
7236660160402
oct45701007256
914107885813
105083762350
112179718997
12b9a660126
13630308604
14363267102
151eb49ee50
hex12f040eae

5083762350 has 96 divisors (see below), whose sum is σ = 13237902720. Its totient is φ = 1289312640.

The previous prime is 5083762309. The next prime is 5083762351. The reversal of 5083762350 is 532673805.

It is a super-3 number, since 3×50837623503 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5083762299 and 5083762308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5083762351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282729 + ... + 300171.

It is an arithmetic number, because the mean of its divisors is an integer number (137894820).

Almost surely, 25083762350 is an apocalyptic number.

5083762350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5083762350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6618951360).

5083762350 is an abundant number, since it is smaller than the sum of its proper divisors (8154140370).

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

5083762350 is a wasteful number, since it uses less digits than its factorization.

5083762350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17554 (or 17549 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 5083762350 is about 71300.5073614487. The cubic root of 5083762350 is about 1719.4718891989.

The spelling of 5083762350 in words is "five billion, eighty-three million, seven hundred sixty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 67 75 87 134 145 150 174 201 290 335 402 435 670 725 870 1005 1450 1675 1943 2010 2175 3350 3886 4350 5025 5829 9715 10050 11658 17443 19430 29145 34886 48575 52329 58290 87215 97150 104658 145725 174430 261645 291450 436075 505847 523290 872150 1011694 1168681 1308225 1517541 2337362 2529235 2616450 3035082 3506043 5058470 5843405 7012086 7587705 11686810 12646175 15175410 17530215 25292350 29217025 33891749 35060430 37938525 58434050 67783498 75877050 87651075 101675247 169458745 175302150 203350494 338917490 508376235 847293725 1016752470 1694587450 2541881175 5083762350