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4148315248 = 2471117261191
BaseRepresentation
bin1111011101000010…
…0100010001110000
3101201002210020201111
43313100210101300
531443432041443
61523344443104
7204541045360
oct36720442160
911632706644
104148315248
111839685710
12979319494
1351158080c
142b4d209a0
151942c069d
hexf7424470

4148315248 has 240 divisors, whose sum is σ = 10875875328. Its totient is φ = 1488384000.

The previous prime is 4148315219. The next prime is 4148315267. The reversal of 4148315248 is 8425138414.

It is a self number, because there is not a number n which added to its sum of digits gives 4148315248.

It is a congruent number.

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, 21718833 + ... + 21719023.

Almost surely, 24148315248 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 4148315248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5437937664).

4148315248 is an abundant number, since it is smaller than the sum of its proper divisors (6727560080).

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

4148315248 is a wasteful number, since it uses less digits than its factorization.

4148315248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 289 counting only the distinct ones).

The product of its digits is 122880, while the sum is 40.

The square root of 4148315248 is about 64407.4160947324. The cubic root of 4148315248 is about 1606.7830842184.

The spelling of 4148315248 in words is "four billion, one hundred forty-eight million, three hundred fifteen thousand, two hundred forty-eight".