Search a number
-
+
2402424 = 233261547
BaseRepresentation
bin1001001010100001111000
311112001111200
421022201320
51103334144
6123254200
726264103
oct11124170
94461450
102402424
1113a0a82
1297a360
1366166b
1446773a
15326c69
hex24a878

2402424 has 48 divisors (see below), whose sum is σ = 6625320. Its totient is φ = 786240.

The previous prime is 2402401. The next prime is 2402431. The reversal of 2402424 is 4242042.

2402424 is a `hidden beast` number, since 240 + 2 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

2402424 is a modest number, since divided by 2424 gives 240 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 2402397 and 2402406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4119 + ... + 4665.

22402424 is an apocalyptic number.

2402424 is a gapful number since it is divisible by the number (24) 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 2402424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312660).

2402424 is an abundant number, since it is smaller than the sum of its proper divisors (4222896).

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

2402424 is a wasteful number, since it uses less digits than its factorization.

2402424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2402424 is about 1549.9754836771. The cubic root of 2402424 is about 133.9316500016.

Adding to 2402424 its reverse (4242042), we get a palindrome (6644466).

The spelling of 2402424 in words is "two million, four hundred two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 547 549 732 1094 1098 1464 1641 2188 2196 3282 4376 4392 4923 6564 9846 13128 19692 33367 39384 66734 100101 133468 200202 266936 300303 400404 600606 800808 1201212 2402424