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4389949440 = 21233517467
BaseRepresentation
bin1000001011010100…
…10101000000000000
3102022221110112112000
410011222111000000
532442311340230
62003335504000
7213533645262
oct40552250000
912287415460
104389949440
111953014a98
12a26228000
1354c654426
142d905db32
151aa600b60
hex105a95000

4389949440 has 416 divisors, whose sum is σ = 16560236160. Its totient is φ = 1099431936.

The previous prime is 4389949439. The next prime is 4389949451. The reversal of 4389949440 is 449499834.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9400087 + ... + 9400553.

It is an arithmetic number, because the mean of its divisors is an integer number (39808260).

Almost surely, 24389949440 is an apocalyptic number.

4389949440 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 4389949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8280118080).

4389949440 is an abundant number, since it is smaller than the sum of its proper divisors (12170286720).

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

4389949440 is a wasteful number, since it uses less digits than its factorization.

4389949440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 4389949440 is about 66256.6935486521. The cubic root of 4389949440 is about 1637.3939176466.

It can be divided in two parts, 43899 and 49440, that added together give a palindrome (93339).

The spelling of 4389949440 in words is "four billion, three hundred eighty-nine million, nine hundred forty-nine thousand, four hundred forty".