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5880385350 = 234527316691
BaseRepresentation
bin1010111100111111…
…11000111101000110
3120011210222112020000
411132133320331012
544020334312400
62411301022130
7265502310420
oct53637707506
916153875200
105880385350
112548362604
1211813b4946
13729378378
143dad93810
152463ab600
hex15e7f8f46

5880385350 has 240 divisors, whose sum is σ = 19278099456. Its totient is φ = 1300536000.

The previous prime is 5880385349. The next prime is 5880385393. The reversal of 5880385350 is 535830885.

5880385350 is a `hidden beast` number, since 5 + 8 + 80 + 38 + 535 + 0 = 666.

It is a super-3 number, since 3×58803853503 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 5880385296 and 5880385305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 875505 + ... + 882195.

Almost surely, 25880385350 is an apocalyptic number.

5880385350 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 5880385350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9639049728).

5880385350 is an abundant number, since it is smaller than the sum of its proper divisors (13397714106).

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

5880385350 is a wasteful number, since it uses less digits than its factorization.

5880385350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6753 (or 6739 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The square root of 5880385350 is about 76683.6706867896. The cubic root of 5880385350 is about 1804.9642132954.

It can be divided in two parts, 5880385 and 350, that added together give a triangular number (5880735 = T3429).

The spelling of 5880385350 in words is "five billion, eight hundred eighty million, three hundred eighty-five thousand, three hundred fifty".