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4412277240 = 2335717595237
BaseRepresentation
bin1000001101111111…
…00000000111111000
3102101111110220111120
410012333200013320
533014020332430
62005454225240
7214224511020
oct40677400770
912344426446
104412277240
111964685218
12a317b5220
13554171247
142dbdd2a80
151ac561610
hex106fe01f8

4412277240 has 256 divisors, whose sum is σ = 16292275200. Its totient is φ = 932929536.

The previous prime is 4412277203. The next prime is 4412277263. The reversal of 4412277240 is 427722144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 839902 + ... + 845138.

It is an arithmetic number, because the mean of its divisors is an integer number (63641700).

Almost surely, 24412277240 is an apocalyptic number.

4412277240 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 4412277240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8146137600).

4412277240 is an abundant number, since it is smaller than the sum of its proper divisors (11879997960).

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

4412277240 is a wasteful number, since it uses less digits than its factorization.

4412277240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5334 (or 5330 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 33.

The square root of 4412277240 is about 66424.9745201306. The cubic root of 4412277240 is about 1640.1652173428.

Adding to 4412277240 its reverse (427722144), we get a palindrome (4839999384).

The spelling of 4412277240 in words is "four billion, four hundred twelve million, two hundred seventy-seven thousand, two hundred forty".