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5432279040 = 217335307
BaseRepresentation
bin1010000111100101…
…00000000000000000
3112000120210100221000
411003302200000000
542111130412130
62255012332000
7251421416136
oct50362400000
915016710830
105432279040
11233841a711
121077314000
136875925c6
14397669756
1521bd94260
hex143ca0000

5432279040 has 288 divisors, whose sum is σ = 19377610560. Its totient is φ = 1443889152.

The previous prime is 5432279029. The next prime is 5432279119. The reversal of 5432279040 is 409722345.

5432279040 is a `hidden beast` number, since 543 + 2 + 2 + 79 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 5432278986 and 5432279004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17694567 + ... + 17694873.

It is an arithmetic number, because the mean of its divisors is an integer number (67283370).

Almost surely, 25432279040 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 5432279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9688805280).

5432279040 is an abundant number, since it is smaller than the sum of its proper divisors (13945331520).

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

5432279040 is an frugal number, since it uses more digits than its factorization.

5432279040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5432279040 is about 73703.9960924779. The cubic root of 5432279040 is about 1757.8994223115.

The spelling of 5432279040 in words is "five billion, four hundred thirty-two million, two hundred seventy-nine thousand, forty".