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5220004608 = 283371343193
BaseRepresentation
bin1001101110010001…
…01111001100000000
3111110210100201011000
410313020233030000
541142310121413
62221550452000
7243233210220
oct46710571400
914423321130
105220004608
1122396137a5
121018204000
136525cb430
143773b0080
15208413073
hex13722f300

5220004608 has 576 divisors, whose sum is σ = 19541294080. Its totient is φ = 1337720832.

The previous prime is 5220004607. The next prime is 5220004619. The reversal of 5220004608 is 8064000225.

5220004608 is a `hidden beast` number, since 52 + 2 + 0 + 0 + 0 + 4 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5220004607) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27046560 + ... + 27046752.

Almost surely, 25220004608 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 5220004608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9770647040).

5220004608 is an abundant number, since it is smaller than the sum of its proper divisors (14321289472).

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

5220004608 is a wasteful number, since it uses less digits than its factorization.

5220004608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5220004608 is about 72249.5993622110. The cubic root of 5220004608 is about 1734.6970055039.

The spelling of 5220004608 in words is "five billion, two hundred twenty million, four thousand, six hundred eight".