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4132275420 = 22357131961653
BaseRepresentation
bin1111011001001101…
…1000010011011100
3101122222121100012210
43312103120103130
531430330303140
61522013000420
7204254522130
oct36623302334
911588540183
104132275420
11183061a759
12973a83110
1350b155ab0
142b2b473c0
15192ba2d80
hexf64d84dc

4132275420 has 384 divisors, whose sum is σ = 15259023360. Its totient is φ = 811192320.

The previous prime is 4132275419. The next prime is 4132275457. The reversal of 4132275420 is 245722314.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 6327814 + ... + 6328466.

It is an arithmetic number, because the mean of its divisors is an integer number (39737040).

Almost surely, 24132275420 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 4132275420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7629511680).

4132275420 is an abundant number, since it is smaller than the sum of its proper divisors (11126747940).

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

4132275420 is a wasteful number, since it uses less digits than its factorization.

4132275420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 4132275420 is about 64282.7770090870. Note that the first 3 decimals coincide. The cubic root of 4132275420 is about 1604.7094863400.

Adding to 4132275420 its reverse (245722314), we get a palindrome (4377997734).

The spelling of 4132275420 in words is "four billion, one hundred thirty-two million, two hundred seventy-five thousand, four hundred twenty".