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2492424 = 2333111049
BaseRepresentation
bin1001100000100000001000
311200121222000
421200200020
51114224144
6125231000
730120354
oct11404010
94617860
102492424
111452660
12a02460
1369360c
1448c464
15343769
hex260808

2492424 has 64 divisors (see below), whose sum is σ = 7560000. Its totient is φ = 754560.

The previous prime is 2492423. The next prime is 2492443. The reversal of 2492424 is 4242942.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2492423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1852 + ... + 2900.

It is an arithmetic number, because the mean of its divisors is an integer number (118125).

22492424 is an apocalyptic number.

2492424 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 2492424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780000).

2492424 is an abundant number, since it is smaller than the sum of its proper divisors (5067576).

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

2492424 is a wasteful number, since it uses less digits than its factorization.

2492424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1065 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2492424 is about 1578.7412707597. The cubic root of 2492424 is about 135.5836459249.

It can be divided in two parts, 2492 and 424, that added together give a square (2916 = 542).

The spelling of 2492424 in words is "two million, four hundred ninety-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1049 1188 2098 2376 3147 4196 6294 8392 9441 11539 12588 18882 23078 25176 28323 34617 37764 46156 56646 69234 75528 92312 103851 113292 138468 207702 226584 276936 311553 415404 623106 830808 1246212 2492424