Search a number
-
+
4692240 = 243257319
BaseRepresentation
bin10001111001100100010000
322211101112200
4101321210100
52200122430
6244323200
754612000
oct21714420
98741480
104692240
112715393
1216a3500
13c83997
148a2000
1562a460
hex479910

4692240 has 240 divisors, whose sum is σ = 19344000. Its totient is φ = 1016064.

The previous prime is 4692227. The next prime is 4692241. The reversal of 4692240 is 422964.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4692241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246951 + ... + 246969.

It is an arithmetic number, because the mean of its divisors is an integer number (80600).

Almost surely, 24692240 is an apocalyptic number.

4692240 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 4692240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9672000).

4692240 is an abundant number, since it is smaller than the sum of its proper divisors (14651760).

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

4692240 is a wasteful number, since it uses less digits than its factorization.

4692240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4692240 is about 2166.1578889822. The cubic root of 4692240 is about 167.4146294002.

The spelling of 4692240 in words is "four million, six hundred ninety-two thousand, two hundred forty".