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47392058448 = 24337172983383
BaseRepresentation
bin101100001000110010…
…010110110001010000
311112022211112000101000
4230020302112301100
51234024331332243
633434400142000
73265263564420
oct541062266120
9145284460330
1047392058448
111910a643a59
129227607900
134613679147
142418222480
1513759465d3
hexb08c96c50

47392058448 has 640 divisors, whose sum is σ = 172788940800. Its totient is φ = 12124643328.

The previous prime is 47392058447. The next prime is 47392058491. The reversal of 47392058448 is 84485029374.

47392058448 is a `hidden beast` number, since 4 + 7 + 39 + 20 + 584 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 47392058394 and 47392058403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47392058447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 123738865 + ... + 123739247.

It is an arithmetic number, because the mean of its divisors is an integer number (269982720).

Almost surely, 247392058448 is an apocalyptic number.

47392058448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47392058448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86394470400).

47392058448 is an abundant number, since it is smaller than the sum of its proper divisors (125396882352).

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

47392058448 is a wasteful number, since it uses less digits than its factorization.

47392058448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 47392058448 in words is "forty-seven billion, three hundred ninety-two million, fifty-eight thousand, four hundred forty-eight".