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4248296640 = 263357193697
BaseRepresentation
bin1111110100110111…
…1101110011000000
3101222001220211102000
43331031331303000
532200030443030
61541315424000
7210163632330
oct37515756300
911861824360
104248296640
111890064165
129a68b5000
135291b89c3
142c43090c0
1519ce6e860
hexfd37dcc0

4248296640 has 448 divisors, whose sum is σ = 18034406400. Its totient is φ = 919683072.

The previous prime is 4248296639. The next prime is 4248296641. The reversal of 4248296640 is 466928424.

4248296640 is a `hidden beast` number, since 42 + 482 + 96 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4248296639) and next prime (4248296641).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4248296641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1147272 + ... + 1150968.

Almost surely, 24248296640 is an apocalyptic number.

4248296640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4248296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9017203200).

4248296640 is an abundant number, since it is smaller than the sum of its proper divisors (13786109760).

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

4248296640 is a wasteful number, since it uses less digits than its factorization.

4248296640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3749 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 4248296640 is about 65178.9585679305. The cubic root of 4248296640 is about 1619.5894707352.

The spelling of 4248296640 in words is "four billion, two hundred forty-eight million, two hundred ninety-six thousand, six hundred forty".