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4227787872 = 253571123307
BaseRepresentation
bin1111101111111110…
…1110110001100000
3101220122022212200000
43323333232301200
532124303202442
61535304100000
7206524414110
oct37377566140
911818285600
104227787872
11187a526670
1299ba64600
13524b87b39
142c16cb040
1519b26cd4c
hexfbfeec60

4227787872 has 576 divisors, whose sum is σ = 16273281024. Its totient is φ = 1046960640.

The previous prime is 4227787867. The next prime is 4227787909. The reversal of 4227787872 is 2787877224.

4227787872 is a `hidden beast` number, since 422 + 77 + 87 + 8 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13771143 + ... + 13771449.

It is an arithmetic number, because the mean of its divisors is an integer number (28252224).

Almost surely, 24227787872 is an apocalyptic number.

4227787872 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 4227787872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8136640512).

4227787872 is an abundant number, since it is smaller than the sum of its proper divisors (12045493152).

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

4227787872 is a wasteful number, since it uses less digits than its factorization.

4227787872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 353 counting only the distinct ones).

The product of its digits is 4917248, while the sum is 54.

The square root of 4227787872 is about 65021.4416327414. The cubic root of 4227787872 is about 1616.9790614834.

The spelling of 4227787872 in words is "four billion, two hundred twenty-seven million, seven hundred eighty-seven thousand, eight hundred seventy-two".