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5000438640 = 243520835161
BaseRepresentation
bin1001010100000110…
…01010001101110000
3110220111012121021010
410222003022031300
540220103014030
62144104430520
7234626012211
oct45203121560
913814177233
105000438640
11213668761a
12b76778440
13618c83442
14356177408
151e3ee16b0
hex12a0ca370

5000438640 has 40 divisors (see below), whose sum is σ = 15501360528. Its totient is φ = 1333450240.

The previous prime is 5000438627. The next prime is 5000438669. The reversal of 5000438640 is 468340005.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5000438598 and 5000438607.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 10417341 + ... + 10417820.

Almost surely, 25000438640 is an apocalyptic number.

It is an amenable number.

5000438640 is an abundant number, since it is smaller than the sum of its proper divisors (10500921888).

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

5000438640 is a wasteful number, since it uses less digits than its factorization.

5000438640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20835177 (or 20835171 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 5000438640 is about 70713.7797038173. The cubic root of 5000438640 is about 1710.0259494711.

Adding to 5000438640 its reverse (468340005), we get a palindrome (5468778645).

The spelling of 5000438640 in words is "five billion, four hundred thirty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 20835161 41670322 62505483 83340644 104175805 125010966 166681288 208351610 250021932 312527415 333362576 416703220 500043864 625054830 833406440 1000087728 1250109660 1666812880 2500219320 5000438640