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3013532928 = 28327226693
BaseRepresentation
bin1011001110011110…
…1101110100000000
321210000111100000200
42303213231310000
522132431023203
61215010245200
7134451415200
oct26347556400
97700440020
103013532928
11130707398a
12701286800
133904421a3
1420832a400
151298689a3
hexb39edd00

3013532928 has 162 divisors, whose sum is σ = 10107709794. Its totient is φ = 860977152.

The previous prime is 3013532917. The next prime is 3013532953. The reversal of 3013532928 is 8292353103.

3013532928 is a `hidden beast` number, since 30 + 1 + 3 + 532 + 92 + 8 = 666.

3013532928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1571963904 + 1441569024 = 39648^2 + 37968^2 .

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 = 3013532892 and 3013532901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 99550 + ... + 126242.

Almost surely, 23013532928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3013532928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5053854897).

3013532928 is an abundant number, since it is smaller than the sum of its proper divisors (7094176866).

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

3013532928 is a wasteful number, since it uses less digits than its factorization.

3013532928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26729 (or 26705 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3013532928 is about 54895.6549100200. The cubic root of 3013532928 is about 1444.4149686100.

The spelling of 3013532928 in words is "three billion, thirteen million, five hundred thirty-two thousand, nine hundred twenty-eight".