Search a number
-
+
4923424 = 251171197
BaseRepresentation
bin10010110010000000100000
3100021010200001
4102302000200
52230022144
6253305344
756564002
oct22620040
910233601
104923424
112863050
121795254
131034c8c
14922372
15673bd4
hex4b2020

4923424 has 48 divisors (see below), whose sum is σ = 10777536. Its totient is φ = 2195200.

The previous prime is 4923419. The next prime is 4923427. The reversal of 4923424 is 4243294.

It is a junction number, because it is equal to n+sod(n) for n = 4923392 and 4923401.

It is not an unprimeable number, because it can be changed into a prime (4923427) 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, 24894 + ... + 25090.

It is an arithmetic number, because the mean of its divisors is an integer number (224532).

Almost surely, 24923424 is an apocalyptic number.

4923424 is a gapful number since it is divisible by the number (44) 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 4923424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5388768).

4923424 is an abundant number, since it is smaller than the sum of its proper divisors (5854112).

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

4923424 is a wasteful number, since it uses less digits than its factorization.

4923424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 281 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 4923424 is about 2218.8789962501. The cubic root of 4923424 is about 170.1201457487.

It can be divided in two parts, 492 and 3424, that added together give a triangular number (3916 = T88).

The spelling of 4923424 in words is "four million, nine hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 71 88 142 176 197 284 352 394 568 781 788 1136 1562 1576 2167 2272 3124 3152 4334 6248 6304 8668 12496 13987 17336 24992 27974 34672 55948 69344 111896 153857 223792 307714 447584 615428 1230856 2461712 4923424