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4848964560 = 2434511591153
BaseRepresentation
bin1001000010000010…
…10101001111010000
3110111221011220220000
410201001111033100
534412313331220
62121054050000
7231106342626
oct44101251720
913457156800
104848964560
112069128930
12b33aa9900
135c37895cb
1433ddc7516
151d5a70390
hex1210553d0

4848964560 has 400 divisors, whose sum is σ = 18699785280. Its totient is φ = 1154580480.

The previous prime is 4848964537. The next prime is 4848964567. The reversal of 4848964560 is 654698484.

4848964560 is a `hidden beast` number, since 48 + 489 + 64 + 5 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4848964497 and 4848964506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4848964567) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4204944 + ... + 4206096.

Almost surely, 24848964560 is an apocalyptic number.

4848964560 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 4848964560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9349892640).

4848964560 is an abundant number, since it is smaller than the sum of its proper divisors (13850820720).

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

4848964560 is a wasteful number, since it uses less digits than its factorization.

4848964560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The square root of 4848964560 is about 69634.5069631429. The cubic root of 4848964560 is about 1692.5818128915.

The spelling of 4848964560 in words is "four billion, eight hundred forty-eight million, nine hundred sixty-four thousand, five hundred sixty".