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4112252928 = 21833783
BaseRepresentation
bin1111010100011100…
…0000000000000000
3101121120221002112000
43311013000000000
531410214043203
61520015504000
7203622400410
oct36507000000
911546832460
104112252928
111820294543
12969228000
13506c65374
142b0214640
1519104a4a3
hexf51c0000

4112252928 has 304 divisors, whose sum is σ = 14092834560. Its totient is φ = 1160773632.

The previous prime is 4112252861. The next prime is 4112252933. The reversal of 4112252928 is 8292522114.

4112252928 is a `hidden beast` number, since 4 + 1 + 122 + 529 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4112252892 and 4112252901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49545175 + ... + 49545257.

Almost surely, 24112252928 is an apocalyptic number.

4112252928 is a gapful number since it is divisible by the number (48) 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 4112252928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7046417280).

4112252928 is an abundant number, since it is smaller than the sum of its proper divisors (9980581632).

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

4112252928 is an frugal number, since it uses more digits than its factorization.

4112252928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 95 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 4112252928 is about 64126.8502890950. The cubic root of 4112252928 is about 1602.1134737055.

The spelling of 4112252928 in words is "four billion, one hundred twelve million, two hundred fifty-two thousand, nine hundred twenty-eight".