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4409012608 = 277111322647
BaseRepresentation
bin1000001101100110…
…00011000110000000
3102101021100001021021
410012303003012000
533012201400413
62005300235224
7214154663110
oct40663030600
912337301237
104409012608
111962855480
12a3069bb14
1355359a300
142db7c3040
151ac11918d
hex106cc3180

4409012608 has 192 divisors, whose sum is σ = 11862616320. Its totient is φ = 1585059840.

The previous prime is 4409012527. The next prime is 4409012627. The reversal of 4409012608 is 8062109044.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1664341 + ... + 1666987.

It is an arithmetic number, because the mean of its divisors is an integer number (61784460).

Almost surely, 24409012608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4409012608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5931308160).

4409012608 is an abundant number, since it is smaller than the sum of its proper divisors (7453603712).

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

4409012608 is a wasteful number, since it uses less digits than its factorization.

4409012608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 4409012608 is about 66400.3961433966. The cubic root of 4409012608 is about 1639.7605995980.

The spelling of 4409012608 in words is "four billion, four hundred nine million, twelve thousand, six hundred eight".