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4848648000 = 26353731931
BaseRepresentation
bin1001000010000000…
…00111111101000000
3110111220120211122120
410201000013331000
534412223214000
62121043204240
7231103554000
oct44100077500
913456524576
104848648000
112068a32009
12b33976680
135c36a84b1
1433dd44000
151d5a0b6a0
hex121007f40

4848648000 has 896 divisors, whose sum is σ = 20287488000. Its totient is φ = 1016064000.

The previous prime is 4848647983. The next prime is 4848648061. The reversal of 4848648000 is 8468484.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 156407985 + ... + 156408015.

Almost surely, 24848648000 is an apocalyptic number.

4848648000 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 4848648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10143744000).

4848648000 is an abundant number, since it is smaller than the sum of its proper divisors (15438840000).

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

4848648000 is a wasteful number, since it uses less digits than its factorization.

4848648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 4848648000 is about 69632.2339150483. The cubic root of 4848648000 is about 1692.5449792299.

The spelling of 4848648000 in words is "four billion, eight hundred forty-eight million, six hundred forty-eight thousand".