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4265329920 = 283517223293
BaseRepresentation
bin1111111000111011…
…1100010100000000
3102000020222012200020
43332032330110000
532213411024140
61543124453440
7210461464125
oct37616742400
912006865606
104265329920
111899738555
129b054a280
1352c8a0977
142c66a074c
1519e6d66d0
hexfe3bc500

4265329920 has 288 divisors, whose sum is σ = 14537843712. Its totient is φ = 1062076416.

The previous prime is 4265329909. The next prime is 4265329927. The reversal of 4265329920 is 299235624.

4265329920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4265329927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14557294 + ... + 14557586.

It is an arithmetic number, because the mean of its divisors is an integer number (50478624).

Almost surely, 24265329920 is an apocalyptic number.

4265329920 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 4265329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7268921856).

4265329920 is an abundant number, since it is smaller than the sum of its proper divisors (10272513792).

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

4265329920 is a wasteful number, since it uses less digits than its factorization.

4265329920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 4265329920 is about 65309.4933374927. The cubic root of 4265329920 is about 1621.7511318931.

The spelling of 4265329920 in words is "four billion, two hundred sixty-five million, three hundred twenty-nine thousand, nine hundred twenty".