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4406973792 = 25313261273
BaseRepresentation
bin1000001101010110…
…10001010101100000
3102101010111110112120
410012223101111200
533011141130132
62005144424240
7214131442044
oct40653212540
912333443476
104406973792
111961692701
12a2ba78080
13553035300
142db412024
151abd6502c
hex106ad1560

4406973792 has 216 divisors, whose sum is σ = 12909805272. Its totient is φ = 1315491840.

The previous prime is 4406973761. The next prime is 4406973793. The reversal of 4406973792 is 2973796044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4406973793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60369468 + ... + 60369540.

It is an arithmetic number, because the mean of its divisors is an integer number (59767617).

Almost surely, 24406973792 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 4406973792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6454902636).

4406973792 is an abundant number, since it is smaller than the sum of its proper divisors (8502831480).

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

4406973792 is a wasteful number, since it uses less digits than its factorization.

4406973792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 51.

The square root of 4406973792 is about 66385.0419296395. The cubic root of 4406973792 is about 1639.5078078815.

The spelling of 4406973792 in words is "four billion, four hundred six million, nine hundred seventy-three thousand, seven hundred ninety-two".