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4048554048 = 2637211192971
BaseRepresentation
bin1111000101010000…
…0000100001000000
3101110011001212002020
43301110000201000
531242412212143
61505422321440
7202220066400
oct36124004100
911404055066
104048554048
111798337640
1294ba29280
134c69c1916
142a5992800
1518a666883
hexf1500840

4048554048 has 672 divisors, whose sum is σ = 15010790400. Its totient is φ = 948326400.

The previous prime is 4048554043. The next prime is 4048554071. The reversal of 4048554048 is 8404558404.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4048554043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57021853 + ... + 57021923.

Almost surely, 24048554048 is an apocalyptic number.

4048554048 is a gapful number since it is divisible by the number (48) 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 4048554048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7505395200).

4048554048 is an abundant number, since it is smaller than the sum of its proper divisors (10962236352).

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

4048554048 is a wasteful number, since it uses less digits than its factorization.

4048554048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 42.

The square root of 4048554048 is about 63628.2488207871. The cubic root of 4048554048 is about 1593.7981332576.

It can be divided in two parts, 4048 and 554048, that added together give a triangular number (558096 = T1056).

The spelling of 4048554048 in words is "four billion, forty-eight million, five hundred fifty-four thousand, forty-eight".