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4234975920 = 243357240013
BaseRepresentation
bin1111110001101100…
…1001101010110000
3101221010212001211000
43330123021222300
532133123212140
61540122122000
7206642462400
oct37433115260
911833761730
104234975920
1118835960aa
129a2350300
13526503816
142c263c800
1519bbdca30
hexfc6c9ab0

4234975920 has 240 divisors, whose sum is σ = 16969137120. Its totient is φ = 967970304.

The previous prime is 4234975907. The next prime is 4234975931. The reversal of 4234975920 is 295794324.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85834 + ... + 125846.

It is an arithmetic number, because the mean of its divisors is an integer number (70704738).

Almost surely, 24234975920 is an apocalyptic number.

4234975920 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 4234975920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8484568560).

4234975920 is an abundant number, since it is smaller than the sum of its proper divisors (12734161200).

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

4234975920 is a wasteful number, since it uses less digits than its factorization.

4234975920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40049 (or 40030 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 4234975920 is about 65076.6926018832. The cubic root of 4234975920 is about 1617.8949338507.

The spelling of 4234975920 in words is "four billion, two hundred thirty-four million, nine hundred seventy-five thousand, nine hundred twenty".