Search a number
-
+
4978372320 = 253357116231
BaseRepresentation
bin1001010001011101…
…11110111011100000
3110211221200111222000
410220232332323200
540143430403240
62141555444000
7234240316005
oct45056767340
913757614860
104978372320
112125185899
12b6b2b6600
1361452864c
143532718ac
151e20d3430
hex128bbeee0

4978372320 has 192 divisors, whose sum is σ = 17670804480. Its totient is φ = 1308787200.

The previous prime is 4978372291. The next prime is 4978372339. The reversal of 4978372320 is 232738794.

It is a Smith number, since the sum of its digits (45) 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 (45).

It is a congruent number.

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, 298605 + ... + 314835.

It is an arithmetic number, because the mean of its divisors is an integer number (92035440).

Almost surely, 24978372320 is an apocalyptic number.

4978372320 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 4978372320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8835402240).

4978372320 is an abundant number, since it is smaller than the sum of its proper divisors (12692432160).

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

4978372320 is a wasteful number, since it uses less digits than its factorization.

4978372320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16326 (or 16312 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 4978372320 is about 70557.5815912082. The cubic root of 4978372320 is about 1707.5068623707.

The spelling of 4978372320 in words is "four billion, nine hundred seventy-eight million, three hundred seventy-two thousand, three hundred twenty".