Search a number
-
+
4792240 = 245371619
BaseRepresentation
bin10010010001111110110000
3100000110201101
4102101332300
52211322430
6250414144
755506355
oct22217660
910013641
104792240
112783532
121731354
13cba35b
148ca62c
15649dca
hex491fb0

4792240 has 40 divisors (see below), whose sum is σ = 11450160. Its totient is φ = 1863936.

The previous prime is 4792201. The next prime is 4792241. The reversal of 4792240 is 422974.

It is a tau number, because it is divible by the number of its divisors (40).

It is a d-powerful number, because it can be written as 42 + 7 + 97 + 25 + 213 + 45 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 4792199 and 4792208.

It is not an unprimeable number, because it can be changed into a prime (4792241) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2151 + ... + 3769.

It is an arithmetic number, because the mean of its divisors is an integer number (286254).

Almost surely, 24792240 is an apocalyptic number.

4792240 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 4792240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5725080).

4792240 is an abundant number, since it is smaller than the sum of its proper divisors (6657920).

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

4792240 is a wasteful number, since it uses less digits than its factorization.

4792240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 4792240 is about 2189.1185440720. The cubic root of 4792240 is about 168.5955807312.

The spelling of 4792240 in words is "four million, seven hundred ninety-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 1619 2960 3238 6476 8095 12952 16190 25904 32380 59903 64760 119806 129520 239612 299515 479224 599030 958448 1198060 2396120 4792240