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1248400048 = 24721639769
BaseRepresentation
bin100101001101001…
…0001001010110000
310020000002021220211
41022122101022300
510024042300143
6323513313504
742636140200
oct11232211260
93200067824
101248400048
11590764485
122aa105894
1316b83c56c
14bbb2c400
15748eb49d
hex4a6912b0

1248400048 has 60 divisors (see below), whose sum is σ = 2831228760. Its totient is φ = 531691776.

The previous prime is 1248400031. The next prime is 1248400051. The reversal of 1248400048 is 8400048421.

It is a junction number, because it is equal to n+sod(n) for n = 1248399992 and 1248400019.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122908 + ... + 132676.

It is an arithmetic number, because the mean of its divisors is an integer number (47187146).

Almost surely, 21248400048 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 1248400048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415614380).

1248400048 is an abundant number, since it is smaller than the sum of its proper divisors (1582828712).

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

1248400048 is a wasteful number, since it uses less digits than its factorization.

1248400048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9954 (or 9941 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The square root of 1248400048 is about 35332.7050761755. The cubic root of 1248400048 is about 1076.7575498412.

Adding to 1248400048 its reverse (8400048421), we get a palindrome (9648448469).

The spelling of 1248400048 in words is "one billion, two hundred forty-eight million, four hundred thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 163 196 326 392 652 784 1141 1304 2282 2608 4564 7987 9128 9769 15974 18256 19538 31948 39076 63896 68383 78152 127792 136766 156304 273532 478681 547064 957362 1094128 1592347 1914724 3184694 3829448 6369388 7658896 11146429 12738776 22292858 25477552 44585716 78025003 89171432 156050006 178342864 312100012 624200024 1248400048