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5623809840 = 24325114991423
BaseRepresentation
bin1010011110011010…
…01000011100110000
3112111221012010210100
411033031020130300
543004143403330
62330013432400
7256235411025
oct51715103460
915457163710
105623809840
112426548630
12110b49b700
136b8172a3c
143b4c8554c
1522dac9060
hex14f348730

5623809840 has 240 divisors, whose sum is σ = 20659392000. Its totient is φ = 1359659520.

The previous prime is 5623809839. The next prime is 5623809871. The reversal of 5623809840 is 489083265.

5623809840 is a `hidden beast` number, since 562 + 3 + 8 + 0 + 9 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3951369 + ... + 3952791.

It is an arithmetic number, because the mean of its divisors is an integer number (86080800).

Almost surely, 25623809840 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 5623809840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10329696000).

5623809840 is an abundant number, since it is smaller than the sum of its proper divisors (15035582160).

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

5623809840 is a wasteful number, since it uses less digits than its factorization.

5623809840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 5623809840 is about 74992.0651802576. The cubic root of 5623809840 is about 1778.3212131122.

The spelling of 5623809840 in words is "five billion, six hundred twenty-three million, eight hundred nine thousand, eight hundred forty".