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4212935328 = 253722989347
BaseRepresentation
bin1111101100011100…
…0100101010100000
3101212121101021210210
43323013010222200
532112002412303
61534013454120
7206254234200
oct37307045240
911777337723
104212935328
111872101738
12996aa1340
13521a87654
142bd742400
15199cd7203
hexfb1c4aa0

4212935328 has 288 divisors, whose sum is σ = 13496414400. Its totient is φ = 1145819136.

The previous prime is 4212935317. The next prime is 4212935387. The reversal of 4212935328 is 8235392124.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12140851 + ... + 12141197.

It is an arithmetic number, because the mean of its divisors is an integer number (46862550).

Almost surely, 24212935328 is an apocalyptic number.

4212935328 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 4212935328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6748207200).

4212935328 is an abundant number, since it is smaller than the sum of its proper divisors (9283479072).

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

4212935328 is a wasteful number, since it uses less digits than its factorization.

4212935328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 477 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 4212935328 is about 64907.1284837035. The cubic root of 4212935328 is about 1615.0833158397.

The spelling of 4212935328 in words is "four billion, two hundred twelve million, nine hundred thirty-five thousand, three hundred twenty-eight".