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4712732928 = 28341729461
BaseRepresentation
bin1000110001110011…
…01001100100000000
3110011102211122020000
410120321221210000
534122424423203
62055350120000
7224533366101
oct43071514400
913142748200
104712732928
111aa9240002
12ab6350000
135a149b587
14329c843a8
151c8b104a3
hex118e69900

4712732928 has 360 divisors, whose sum is σ = 15425597880. Its totient is φ = 1424424960.

The previous prime is 4712732909. The next prime is 4712732951. The reversal of 4712732928 is 8292372174.

It can be written as a sum of positive squares in 4 ways, for example, as 931958784 + 3780774144 = 30528^2 + 61488^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10222618 + ... + 10223078.

It is an arithmetic number, because the mean of its divisors is an integer number (42848883).

Almost surely, 24712732928 is an apocalyptic number.

4712732928 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 4712732928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7712798940).

4712732928 is an abundant number, since it is smaller than the sum of its proper divisors (10712864952).

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

4712732928 is a wasteful number, since it uses less digits than its factorization.

4712732928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 512 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 4712732928 is about 68649.3476152541. The cubic root of 4712732928 is about 1676.5799812808.

The spelling of 4712732928 in words is "four billion, seven hundred twelve million, seven hundred thirty-two thousand, nine hundred twenty-eight".