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2148625440 = 25365132109
BaseRepresentation
bin1000000000010001…
…0110110000100000
312112202000111000000
42000010112300200
513400022003230
6553112300000
7104150005053
oct20004266040
95482014000
102148625440
11a02930105
124bb6a1600
132831b4700
14165506a9a
15c896eb60
hex80116c20

2148625440 has 504 divisors, whose sum is σ = 8316790020. Its totient is φ = 524040192.

The previous prime is 2148625439. The next prime is 2148625441. The reversal of 2148625440 is 445268412.

2148625440 is a `hidden beast` number, since 21 + 4 + 8 + 625 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2148625439) and next prime (2148625441).

It can be written as a sum of positive squares in 6 ways, for example, as 365421456 + 1783203984 = 19116^2 + 42228^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2148625395 and 2148625404.

It is not an unprimeable number, because it can be changed into a prime (2148625441) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 19712106 + ... + 19712214.

Almost surely, 22148625440 is an apocalyptic number.

2148625440 is a gapful number since it is divisible by the number (20) 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 2148625440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4158395010).

2148625440 is an abundant number, since it is smaller than the sum of its proper divisors (6168164580).

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

2148625440 is a wasteful number, since it uses less digits than its factorization.

2148625440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2148625440 is about 46353.2678459675. The cubic root of 2148625440 is about 1290.3877687700.

The spelling of 2148625440 in words is "two billion, one hundred forty-eight million, six hundred twenty-five thousand, four hundred forty".