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5453779248 = 243517109757
BaseRepresentation
bin1010001010001001…
…00001000100110000
3112002002020200200000
411011010201010300
542132131413443
62301101230000
7252102234021
oct50504410460
915062220600
105453779248
112349575085
121082562300
1368bb7c818
1439a464c48
1521dbde8d3
hex145121130

5453779248 has 240 divisors, whose sum is σ = 16935478560. Its totient is φ = 1693052928.

The previous prime is 5453779241. The next prime is 5453779249. The reversal of 5453779248 is 8429773545.

It is a happy number.

5453779248 is a `hidden beast` number, since 545 + 3 + 7 + 7 + 92 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5453779194 and 5453779203.

It is not an unprimeable number, because it can be changed into a prime (5453779241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7204086 + ... + 7204842.

It is an arithmetic number, because the mean of its divisors is an integer number (70564494).

Almost surely, 25453779248 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 5453779248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8467739280).

5453779248 is an abundant number, since it is smaller than the sum of its proper divisors (11481699312).

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

5453779248 is a wasteful number, since it uses less digits than its factorization.

5453779248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 888 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The square root of 5453779248 is about 73849.7071625880. The cubic root of 5453779248 is about 1760.2155435053.

The spelling of 5453779248 in words is "five billion, four hundred fifty-three million, seven hundred seventy-nine thousand, two hundred forty-eight".