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4542332928 = 2153722341
BaseRepresentation
bin1000011101011111…
…01000000000000000
3102201120012102100220
410032233220000000
533300314123203
62030421543040
7220364123100
oct41657500000
912646172326
104542332928
111a21034a61
12a69274a80
135750a9183
143113a9200
151b8ba1653
hex10ebe8000

4542332928 has 384 divisors, whose sum is σ = 15061515840. Its totient is φ = 1211105280.

The previous prime is 4542332827. The next prime is 4542332929. The reversal of 4542332928 is 8292332454.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4542332928.

It is not an unprimeable number, because it can be changed into a prime (4542332929) 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 23 ways as a sum of consecutive naturals, for example, 110788588 + ... + 110788628.

Almost surely, 24542332928 is an apocalyptic number.

4542332928 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 4542332928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7530757920).

4542332928 is an abundant number, since it is smaller than the sum of its proper divisors (10519182912).

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

4542332928 is an equidigital number, since it uses as much as digits as its factorization.

4542332928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 76 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 4542332928 is about 67396.8317356239. The cubic root of 4542332928 is about 1656.1245209640.

The spelling of 4542332928 in words is "four billion, five hundred forty-two million, three hundred thirty-two thousand, nine hundred twenty-eight".