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4428708480 = 273357194147
BaseRepresentation
bin1000001111111100…
…01011101010000000
3102102122101200221000
410013332023222000
533032222132410
62011242332000
7214514254350
oct40776135200
912378350830
104428708480
111972988259
12a371ba000
135576a5181
1430026cb60
151adc09dc0
hex107f8ba80

4428708480 has 1024 divisors, whose sum is σ = 19740672000. Its totient is φ = 915701760.

The previous prime is 4428708467. The next prime is 4428708481. The reversal of 4428708480 is 848078244.

It is a happy number.

4428708480 is a `hidden beast` number, since 4 + 428 + 70 + 84 + 80 = 666.

It is a super-2 number, since 2×44287084802 = 39226917601647820800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4428708481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94227817 + ... + 94227863.

It is an arithmetic number, because the mean of its divisors is an integer number (19278000).

Almost surely, 24428708480 is an apocalyptic number.

4428708480 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 4428708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9870336000).

4428708480 is an abundant number, since it is smaller than the sum of its proper divisors (15311963520).

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

4428708480 is a wasteful number, since it uses less digits than its factorization.

4428708480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 4428708480 is about 66548.5422830583. The cubic root of 4428708480 is about 1642.1986770278.

The spelling of 4428708480 in words is "four billion, four hundred twenty-eight million, seven hundred eight thousand, four hundred eighty".