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4022075232 = 253272377703
BaseRepresentation
bin1110111110111011…
…1111111101100000
3101101022020120222100
43233232333331200
531214122401412
61503035010400
7201446034600
oct35756777540
911338216870
104022075232
1117843a171a
12942b99a00
134c1380596
142a225cc00
15188185edc
hexefbbff60

4022075232 has 216 divisors, whose sum is σ = 13666541616. Its totient is φ = 1117960704.

The previous prime is 4022075231. The next prime is 4022075263. The reversal of 4022075232 is 2325702204.

4022075232 is a `hidden beast` number, since 402 + 20 + 7 + 5 + 232 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4022075196 and 4022075205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022075231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 518293 + ... + 525995.

It is an arithmetic number, because the mean of its divisors is an integer number (63271026).

Almost surely, 24022075232 is an apocalyptic number.

4022075232 is a gapful number since it is divisible by the number (42) 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 4022075232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6833270808).

4022075232 is an abundant number, since it is smaller than the sum of its proper divisors (9644466384).

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

4022075232 is a wasteful number, since it uses less digits than its factorization.

4022075232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7770 (or 7752 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 4022075232 is about 63419.8331123632. The cubic root of 4022075232 is about 1590.3158836025.

Adding to 4022075232 its reverse (2325702204), we get a palindrome (6347777436).

The spelling of 4022075232 in words is "four billion, twenty-two million, seventy-five thousand, two hundred thirty-two".