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4542439680 = 283253710657
BaseRepresentation
bin1000011101100000…
…00010000100000000
3102201120101211210200
410032300002010000
533300331032210
62030424125200
7220365046242
oct41660020400
912646354720
104542439680
111a210a8189
12a69306800
1357511593c
143113d6092
151b8bc30c0
hex10ec02100

4542439680 has 216 divisors, whose sum is σ = 16142649432. Its totient is φ = 1178468352.

The previous prime is 4542439667. The next prime is 4542439697. The reversal of 4542439680 is 869342454.

4542439680 is a `hidden beast` number, since 4 + 542 + 43 + 9 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 330948864 + 4211490816 = 18192^2 + 64896^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420912 + ... + 431568.

Almost surely, 24542439680 is an apocalyptic number.

4542439680 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 4542439680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8071324716).

4542439680 is an abundant number, since it is smaller than the sum of its proper divisors (11600209752).

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

4542439680 is a wasteful number, since it uses less digits than its factorization.

4542439680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10721 (or 10704 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 4542439680 is about 67397.6236969821. The cubic root of 4542439680 is about 1656.1374947099.

The spelling of 4542439680 in words is "four billion, five hundred forty-two million, four hundred thirty-nine thousand, six hundred eighty".