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5252895648 = 253272111319137
BaseRepresentation
bin1001110010001100…
…01101001110100000
3111120002020202011200
410321012031032200
541224220130043
62225123441200
7244112606400
oct47106151640
914502222150
105252895648
112256139280
121027226200
136593762a0
1437b8d2800
1520b25d7d3
hex13918d3a0

5252895648 has 864 divisors, whose sum is σ = 21645973440. Its totient is φ = 1184440320.

The previous prime is 5252895647. The next prime is 5252895649. The reversal of 5252895648 is 8465982525.

5252895648 is a `hidden beast` number, since 52 + 5 + 28 + 9 + 564 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5252895647) and next prime (5252895649).

Its product of digits (6912000) is a multiple of the sum of its prime divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 5252895594 and 5252895603.

It is not an unprimeable number, because it can be changed into a prime (5252895647) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38342236 + ... + 38342372.

It is an arithmetic number, because the mean of its divisors is an integer number (25053210).

Almost surely, 25252895648 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 5252895648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10822986720).

5252895648 is an abundant number, since it is smaller than the sum of its proper divisors (16393077792).

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

5252895648 is a wasteful number, since it uses less digits than its factorization.

5252895648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 192 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 54.

The square root of 5252895648 is about 72476.8628460145. The cubic root of 5252895648 is about 1738.3327986225.

The spelling of 5252895648 in words is "five billion, two hundred fifty-two million, eight hundred ninety-five thousand, six hundred forty-eight".