Search a number
-
+
424764 = 22351923
BaseRepresentation
bin1100111101100111100
3210120200000
41213230330
5102043024
613034300
73416244
oct1475474
9716600
10424764
1127014a
12185990
1311b452
14b0b24
1585cc9
hex67b3c

424764 has 72 divisors (see below), whose sum is σ = 1223040. Its totient is φ = 128304.

The previous prime is 424757. The next prime is 424769. The reversal of 424764 is 467424.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 424764.

It is not an unprimeable number, because it can be changed into a prime (424769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18457 + ... + 18479.

2424764 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 424764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611520).

424764 is an abundant number, since it is smaller than the sum of its proper divisors (798276).

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

424764 is a wasteful number, since it uses less digits than its factorization.

424764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 47 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 424764 is about 651.7392116483. The cubic root of 424764 is about 75.1708106875.

The spelling of 424764 in words is "four hundred twenty-four thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 23 27 36 38 46 54 57 69 76 81 92 108 114 138 162 171 207 228 243 276 324 342 414 437 486 513 621 684 828 874 972 1026 1242 1311 1539 1748 1863 2052 2484 2622 3078 3726 3933 4617 5244 5589 6156 7452 7866 9234 11178 11799 15732 18468 22356 23598 35397 47196 70794 106191 141588 212382 424764