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4380248880 = 2433572711069
BaseRepresentation
bin1000001010001010…
…10100101100110000
3102022021012200212000
410011011110230300
532432320431010
62002351534000
7213355333620
oct40505245460
912267180760
104380248880
1119485998a7
12a22b2a300
1354a638c57
142d7a56880
151a98367c0
hex105154b30

4380248880 has 320 divisors, whose sum is σ = 17322700800. Its totient is φ = 996572160.

The previous prime is 4380248867. The next prime is 4380248891. The reversal of 4380248880 is 888420834.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 4096986 + ... + 4098054.

It is an arithmetic number, because the mean of its divisors is an integer number (54133440).

Almost surely, 24380248880 is an apocalyptic number.

4380248880 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 4380248880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8661350400).

4380248880 is an abundant number, since it is smaller than the sum of its proper divisors (12942451920).

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

4380248880 is a wasteful number, since it uses less digits than its factorization.

4380248880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 4380248880 is about 66183.4486862085. The cubic root of 4380248880 is about 1636.1869673914.

The spelling of 4380248880 in words is "four billion, three hundred eighty million, two hundred forty-eight thousand, eight hundred eighty".