Search a number
-
+
4848975360 = 2933531273
BaseRepresentation
bin1001000010000010…
…10111111000000000
3110111221012110201000
410201001113320000
534412314202420
62121054212000
7231106416255
oct44101277000
913457173630
104848975360
112069135a59
12b33ab4000
135c37914b8
1433ddcb42c
151d5a73690
hex121057e00

4848975360 has 480 divisors, whose sum is σ = 18041300640. Its totient is φ = 1234206720.

The previous prime is 4848975337. The next prime is 4848975407. The reversal of 4848975360 is 635798484.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 4848975297 and 4848975306.

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 47 ways as a sum of consecutive naturals, for example, 66424284 + ... + 66424356.

It is an arithmetic number, because the mean of its divisors is an integer number (37586043).

Almost surely, 24848975360 is an apocalyptic number.

4848975360 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 4848975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9020650320).

4848975360 is an abundant number, since it is smaller than the sum of its proper divisors (13192325280).

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

4848975360 is an equidigital number, since it uses as much as digits as its factorization.

4848975360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 4848975360 is about 69634.5845108593. The cubic root of 4848975360 is about 1692.5830695082.

The spelling of 4848975360 in words is "four billion, eight hundred forty-eight million, nine hundred seventy-five thousand, three hundred sixty".