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2453047128 = 23327291571069
BaseRepresentation
bin1001001000110110…
…1000011101011000
320022221211201001100
42102031220131120
520010440002003
61043225151400
7114534361620
oct22215503530
96287751040
102453047128
111049754684
1258562b560
1330129cc9c
14193b0b880
15e5553ba3
hex92368758

2453047128 has 192 divisors, whose sum is σ = 7912008000. Its totient is φ = 671763456.

The previous prime is 2453047087. The next prime is 2453047133. The reversal of 2453047128 is 8217403542.

It is a happy number.

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 = 2453047092 and 2453047101.

It is a congruent number.

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, 2294178 + ... + 2295246.

It is an arithmetic number, because the mean of its divisors is an integer number (41208375).

Almost surely, 22453047128 is an apocalyptic number.

2453047128 is a gapful number since it is divisible by the number (28) 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 2453047128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3956004000).

2453047128 is an abundant number, since it is smaller than the sum of its proper divisors (5458960872).

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

2453047128 is a wasteful number, since it uses less digits than its factorization.

2453047128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2453047128 is about 49528.2457593644. The cubic root of 2453047128 is about 1348.6584071212.

The spelling of 2453047128 in words is "two billion, four hundred fifty-three million, forty-seven thousand, one hundred twenty-eight".