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4790298240 = 2732571321937
BaseRepresentation
bin1000111011000011…
…00010011010000000
3110100211210100211100
410131201202122000
534302304020430
62111200414400
7226464602040
oct43541423200
913324710740
104790298240
112038aa8a72
12b18317400
135b4588700
143362b5720
151d0832960
hex11d862680

4790298240 has 1152 divisors, whose sum is σ = 22130409600. Its totient is φ = 931627008.

The previous prime is 4790298239. The next prime is 4790298269. The reversal of 4790298240 is 428920974.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 129467502 + ... + 129467538.

It is an arithmetic number, because the mean of its divisors is an integer number (19210425).

Almost surely, 24790298240 is an apocalyptic number.

4790298240 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 4790298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11065204800).

4790298240 is an abundant number, since it is smaller than the sum of its proper divisors (17340111360).

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

4790298240 is a wasteful number, since it uses less digits than its factorization.

4790298240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4790298240 is about 69211.9804658124. The cubic root of 4790298240 is about 1685.7280666443.

The spelling of 4790298240 in words is "four billion, seven hundred ninety million, two hundred ninety-eight thousand, two hundred forty".