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5384615440 = 24567307693
BaseRepresentation
bin1010000001111001…
…01011011000010000
3111220021002210202111
411000330223120100
542011430143230
62250150555104
7250302322201
oct50074533020
914807083674
105384615440
112313525306
121063368a94
1367a7447a9
143911bd5a8
15217acb92a
hex140f2b610

5384615440 has 20 divisors (see below), whose sum is σ = 12519231084. Its totient is φ = 2153846144.

The previous prime is 5384615429. The next prime is 5384615459. The reversal of 5384615440 is 445164835.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4136547856 + 1248067584 = 64316^2 + 35328^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5384615393 and 5384615402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33653767 + ... + 33653926.

Almost surely, 25384615440 is an apocalyptic number.

It is an amenable number.

5384615440 is an abundant number, since it is smaller than the sum of its proper divisors (7134615644).

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

5384615440 is a wasteful number, since it uses less digits than its factorization.

5384615440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67307706 (or 67307700 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The square root of 5384615440 is about 73379.9389479168. The cubic root of 5384615440 is about 1752.7429572068.

The spelling of 5384615440 in words is "five billion, three hundred eighty-four million, six hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 67307693 134615386 269230772 336538465 538461544 673076930 1076923088 1346153860 2692307720 5384615440