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5442261048 = 233572193197
BaseRepresentation
bin1010001000110001…
…00101000000111000
3112001021120111200000
411010120211000320
542121204323143
62300010313000
7251602312200
oct50430450070
915037514600
105442261048
112343018304
12107a728760
13689678c13
14398b07400
1521cbb6bd3
hex144625038

5442261048 has 576 divisors, whose sum is σ = 19519718400. Its totient is φ = 1410877440.

The previous prime is 5442261043. The next prime is 5442261053. The reversal of 5442261048 is 8401622445.

5442261048 is a `hidden beast` number, since 544 + 2 + 2 + 6 + 104 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5442261043) and next prime (5442261053).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5442261043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56105736 + ... + 56105832.

It is an arithmetic number, because the mean of its divisors is an integer number (33888400).

Almost surely, 25442261048 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 5442261048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9759859200).

5442261048 is an abundant number, since it is smaller than the sum of its proper divisors (14077457352).

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

5442261048 is a wasteful number, since it uses less digits than its factorization.

5442261048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 159 counting only the distinct ones).

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

The square root of 5442261048 is about 73771.6818840400. The cubic root of 5442261048 is about 1758.9754979300.

The spelling of 5442261048 in words is "five billion, four hundred forty-two million, two hundred sixty-one thousand, forty-eight".