Search a number
-
+
4873794240 = 263571814007
BaseRepresentation
bin1001000101000000…
…00011001011000000
3110120122220101210210
410202200003023000
534440142403430
62123342154120
7231530365440
oct44240031300
913518811723
104873794240
112081147827
12b40282940
135c8971123
1434340c120
151d7d272b0
hex1228032c0

4873794240 has 224 divisors, whose sum is σ = 17787055104. Its totient is φ = 1107578880.

The previous prime is 4873794229. The next prime is 4873794269. The reversal of 4873794240 is 424973784.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4873794240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1214317 + ... + 1218323.

It is an arithmetic number, because the mean of its divisors is an integer number (79406496).

Almost surely, 24873794240 is an apocalyptic number.

4873794240 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 4873794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8893527552).

4873794240 is an abundant number, since it is smaller than the sum of its proper divisors (12913260864).

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

4873794240 is a wasteful number, since it uses less digits than its factorization.

4873794240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4215 (or 4205 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The square root of 4873794240 is about 69812.5650581613. The cubic root of 4873794240 is about 1695.4659155490.

The spelling of 4873794240 in words is "four billion, eight hundred seventy-three million, seven hundred ninety-four thousand, two hundred forty".