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2048340728 = 237211634493
BaseRepresentation
bin111101000010111…
…0011001011111000
312021202022111020102
41322011303023320
513143333400403
6535131014532
7101521415600
oct17205631370
95252274212
102048340728
11961264785
12491b9a448
132684a1445
1415607dc00
15bec60b88
hex7a1732f8

2048340728 has 48 divisors (see below), whose sum is σ = 4472518680. Its totient is φ = 876910272.

The previous prime is 2048340719. The next prime is 2048340737. The reversal of 2048340728 is 8270438402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2048340719) and next prime (2048340737).

It is a junction number, because it is equal to n+sod(n) for n = 2048340691 and 2048340700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 453650 + ... + 458142.

Almost surely, 22048340728 is an apocalyptic number.

2048340728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2048340728 is an abundant number, since it is smaller than the sum of its proper divisors (2424177952).

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

2048340728 is a wasteful number, since it uses less digits than its factorization.

2048340728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5676 (or 5665 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

The square root of 2048340728 is about 45258.5983874888. The cubic root of 2048340728 is about 1269.9912637091.

The spelling of 2048340728 in words is "two billion, forty-eight million, three hundred forty thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 1163 2326 4493 4652 8141 8986 9304 16282 17972 31451 32564 35944 56987 62902 65128 113974 125804 220157 227948 251608 440314 455896 880628 1761256 5225359 10450718 20901436 36577513 41802872 73155026 146310052 256042591 292620104 512085182 1024170364 2048340728