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48240287424 = 2634719313761
BaseRepresentation
bin101100111011010110…
…000101111011000000
311121111221121111210000
4230323112011323000
51242244003144144
634054500440000
73325303451250
oct547326057300
9147457544700
1048240287424
1119505425a3a
1294236a9000
13471a317294
142498b43960
1513c5148769
hexb3b585ec0

48240287424 has 1120 divisors, whose sum is σ = 185367818240. Its totient is φ = 12093235200.

The previous prime is 48240287419. The next prime is 48240287429. The reversal of 48240287424 is 42478204284.

48240287424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48240287419) and next prime (48240287429).

It is a self number, because there is not a number n which added to its sum of digits gives 48240287424.

It is not an unprimeable number, because it can be changed into a prime (48240287429) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 790824354 + ... + 790824414.

Almost surely, 248240287424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48240287424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92683909120).

48240287424 is an abundant number, since it is smaller than the sum of its proper divisors (137127530816).

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

48240287424 is a wasteful number, since it uses less digits than its factorization.

48240287424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 45.

The spelling of 48240287424 in words is "forty-eight billion, two hundred forty million, two hundred eighty-seven thousand, four hundred twenty-four".