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4542454080 = 263451731013
BaseRepresentation
bin1000011101100000…
…00101100101000000
3102201120102120120000
410032300011211000
533300332012310
62030424320000
7220365136233
oct41660054500
912646376500
104542454080
111a21107a8a
12a69313000
1357511c368
143113db41a
151b8bc74c0
hex10ec05940

4542454080 has 280 divisors, whose sum is σ = 16267752072. Its totient is φ = 1203130368.

The previous prime is 4542454079. The next prime is 4542454139. The reversal of 4542454080 is 804542454.

4542454080 is a `hidden beast` number, since 4 + 5 + 4 + 245 + 408 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 164249856 + 4378204224 = 12816^2 + 66168^2 .

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 4483654 + ... + 4484666.

Almost surely, 24542454080 is an apocalyptic number.

4542454080 is a gapful number since it is divisible by the number (40) 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 4542454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8133876036).

4542454080 is an abundant number, since it is smaller than the sum of its proper divisors (11725297992).

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

4542454080 is a wasteful number, since it uses less digits than its factorization.

4542454080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The square root of 4542454080 is about 67397.7305255897. The cubic root of 4542454080 is about 1656.1392447500.

The spelling of 4542454080 in words is "four billion, five hundred forty-two million, four hundred fifty-four thousand, eighty".