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48290431350 = 235271931113691
BaseRepresentation
bin101100111110010101…
…011000000101110110
311121122102222002022110
4230332111120011312
51242344322300400
634103451311450
73326452615410
oct547625300566
9147572862273
1048290431350
11195307648a7
12943844b586
134727823045
1424a16779b0
1513c9750e50
hexb3e558176

48290431350 has 384 divisors, whose sum is σ = 150253240320. Its totient is φ = 10015488000.

The previous prime is 48290431349. The next prime is 48290431361. The reversal of 48290431350 is 5313409284.

It is a junction number, because it is equal to n+sod(n) for n = 48290431299 and 48290431308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 69884505 + ... + 69885195.

It is an arithmetic number, because the mean of its divisors is an integer number (391284480).

Almost surely, 248290431350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48290431350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75126620160).

48290431350 is an abundant number, since it is smaller than the sum of its proper divisors (101962808970).

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

48290431350 is a wasteful number, since it uses less digits than its factorization.

48290431350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 48290431350 in words is "forty-eight billion, two hundred ninety million, four hundred thirty-one thousand, three hundred fifty".