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47584035240 = 23357279102437
BaseRepresentation
bin101100010100001110…
…101100000110101000
311112211012202110000120
4230110032230012220
51234423003111430
633505415003240
73303114424500
oct542416540650
9145735673016
1047584035240
11191a8a46a65
12927b969520
134644384591
142435916a00
151387718610
hexb143ac1a8

47584035240 has 192 divisors, whose sum is σ = 168162220800. Its totient is φ = 10738570752.

The previous prime is 47584035199. The next prime is 47584035251. The reversal of 47584035240 is 4253048574.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 47584035192 and 47584035201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 413302 + ... + 515738.

It is an arithmetic number, because the mean of its divisors is an integer number (875844900).

Almost surely, 247584035240 is an apocalyptic number.

47584035240 is a gapful number since it is divisible by the number (40) 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 47584035240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84081110400).

47584035240 is an abundant number, since it is smaller than the sum of its proper divisors (120578185560).

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

47584035240 is a wasteful number, since it uses less digits than its factorization.

47584035240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102544 (or 102533 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The spelling of 47584035240 in words is "forty-seven billion, five hundred eighty-four million, thirty-five thousand, two hundred forty".