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4429671840 = 253351131297
BaseRepresentation
bin1000010000000011…
…10110110110100000
3102102201012122102000
410020001312312200
533032443444330
62011315124000
7214525406106
oct41001666640
912381178360
104429671840
111973486020
12a375a3600
135579517c9
1430043dc76
151add4a560
hex108076da0

4429671840 has 576 divisors, whose sum is σ = 17656652160. Its totient is φ = 1028505600.

The previous prime is 4429671803. The next prime is 4429671847. The reversal of 4429671840 is 481769244.

It is a super-2 number, since 2×44296718402 = 39243985220177971200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4429671847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45666672 + ... + 45666768.

It is an arithmetic number, because the mean of its divisors is an integer number (30653910).

Almost surely, 24429671840 is an apocalyptic number.

4429671840 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 4429671840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8828326080).

4429671840 is an abundant number, since it is smaller than the sum of its proper divisors (13226980320).

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

4429671840 is a wasteful number, since it uses less digits than its factorization.

4429671840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4429671840 is about 66555.7799142944. The cubic root of 4429671840 is about 1642.3177421253.

The spelling of 4429671840 in words is "four billion, four hundred twenty-nine million, six hundred seventy-one thousand, eight hundred forty".