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4472280000 = 26335441101
BaseRepresentation
bin1000010101001000…
…11001001111000000
3102112200101100211000
410022210121033000
533124400430000
62015440252000
7215553516126
oct41244311700
912480340730
104472280000
111995538181
12a49911000
1356371c536
14305d71916
151b2965000
hex10a9193c0

4472280000 has 560 divisors, whose sum is σ = 16996684320. Its totient is φ = 1152000000.

The previous prime is 4472279951. The next prime is 4472280019. The reversal of 4472280000 is 822744.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44279950 + ... + 44280050.

It is an arithmetic number, because the mean of its divisors is an integer number (30351222).

Almost surely, 24472280000 is an apocalyptic number.

4472280000 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 4472280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8498342160).

4472280000 is an abundant number, since it is smaller than the sum of its proper divisors (12524404320).

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

4472280000 is a wasteful number, since it uses less digits than its factorization.

4472280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4472280000 is about 66875.1074765491. The cubic root of 4472280000 is about 1647.5666611294.

The spelling of 4472280000 in words is "four billion, four hundred seventy-two million, two hundred eighty thousand".