Search a number
-
+
424788 = 223713389
BaseRepresentation
bin1100111101101010100
3210120200220
41213231110
5102043123
613034340
73416310
oct1475524
9716626
10424788
11270171
121859b0
1311b470
14b0b40
1585ce3
hex67b54

424788 has 48 divisors (see below), whose sum is σ = 1223040. Its totient is φ = 111744.

The previous prime is 424777. The next prime is 424811. The reversal of 424788 is 887424.

It is a congruent number.

It is an unprimeable number.

424788 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 898 + ... + 1286.

It is an arithmetic number, because the mean of its divisors is an integer number (25480).

2424788 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 424788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611520).

424788 is an abundant number, since it is smaller than the sum of its proper divisors (798252).

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

424788 is a wasteful number, since it uses less digits than its factorization.

424788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 414 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 424788 is about 651.7576236608. The cubic root of 424788 is about 75.1722264269.

It can be divided in two parts, 42478 and 8, that added together give a triangular number (42486 = T291).

The spelling of 424788 in words is "four hundred twenty-four thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 389 546 778 1092 1167 1556 2334 2723 4668 5057 5446 8169 10114 10892 15171 16338 20228 30342 32676 35399 60684 70798 106197 141596 212394 424788