Search a number
-
+
4788016 = 241729607
BaseRepresentation
bin10010010000111100110000
3100000020220221
4102100330300
52211204031
6250342424
755461142
oct22207460
910006827
104788016
112780342
12172aa14
13cb845c
148c8c92
15648a11
hex490f30

4788016 has 40 divisors (see below), whose sum is σ = 10177920. Its totient is φ = 2171904.

The previous prime is 4788011. The next prime is 4788023. The reversal of 4788016 is 6108874.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (4788011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7585 + ... + 8191.

It is an arithmetic number, because the mean of its divisors is an integer number (254448).

Almost surely, 24788016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4788016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088960).

4788016 is an abundant number, since it is smaller than the sum of its proper divisors (5389904).

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

4788016 is a wasteful number, since it uses less digits than its factorization.

4788016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 4788016 is about 2188.1535595108. The cubic root of 4788016 is about 168.5460313854.

The spelling of 4788016 in words is "four million, seven hundred eighty-eight thousand, sixteen".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 464 493 607 986 1214 1972 2428 3944 4856 7888 9712 10319 17603 20638 35206 41276 70412 82552 140824 165104 281648 299251 598502 1197004 2394008 4788016