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4914224 = 247172989
BaseRepresentation
bin10010101111110000110000
3100020200001022
4102233300300
52224223344
6253155012
756525120
oct22576060
910220038
104914224
112857147
12178ba68
131030a33
1491cc80
156710ee
hex4afc30

4914224 has 80 divisors (see below), whose sum is σ = 12052800. Its totient is φ = 1892352.

The previous prime is 4914223. The next prime is 4914227. The reversal of 4914224 is 4224194.

Its product of digits (2304) is a multiple of the sum of its prime divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 4914193 and 4914202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4914223) 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 15 ways as a sum of consecutive naturals, for example, 55172 + ... + 55260.

It is an arithmetic number, because the mean of its divisors is an integer number (150660).

Almost surely, 24914224 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 4914224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026400).

4914224 is an abundant number, since it is smaller than the sum of its proper divisors (7138576).

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

4914224 is a wasteful number, since it uses less digits than its factorization.

4914224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 4914224 is about 2216.8049079700. The cubic root of 4914224 is about 170.0141164748.

The spelling of 4914224 in words is "four million, nine hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 29 34 56 58 68 89 112 116 119 136 178 203 232 238 272 356 406 464 476 493 623 712 812 952 986 1246 1424 1513 1624 1904 1972 2492 2581 3026 3248 3451 3944 4984 5162 6052 6902 7888 9968 10324 10591 12104 13804 18067 20648 21182 24208 27608 36134 41296 42364 43877 55216 72268 84728 87754 144536 169456 175508 289072 307139 351016 614278 702032 1228556 2457112 4914224