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2424492 = 223471069
BaseRepresentation
bin1001001111111010101100
311120011210000
421033322230
51110040432
6123544300
726415330
oct11177254
94504700
102424492
111406614
1298b090
1366b715
144717c0
1532d57c
hex24feac

2424492 has 60 divisors (see below), whose sum is σ = 7250320. Its totient is φ = 692064.

The previous prime is 2424491. The next prime is 2424493. The reversal of 2424492 is 2944242.

It is an interprime number because it is at equal distance from previous prime (2424491) and next prime (2424493).

It is a super-2 number, since 2×24244922 = 11756322916128, which contains 22 as substring.

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 (2424491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1734 + ... + 2802.

22424492 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 2424492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3625160).

2424492 is an abundant number, since it is smaller than the sum of its proper divisors (4825828).

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

2424492 is a wasteful number, since it uses less digits than its factorization.

2424492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1081 counting only the distinct ones).

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

The square root of 2424492 is about 1557.0780327267. The cubic root of 2424492 is about 134.3404870441.

It can be divided in two parts, 24244 and 92, that added together give a square (24336 = 1562).

The spelling of 2424492 in words is "two million, four hundred twenty-four thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1069 1134 2138 2268 3207 4276 6414 7483 9621 12828 14966 19242 22449 28863 29932 38484 44898 57726 67347 86589 89796 115452 134694 173178 202041 269388 346356 404082 606123 808164 1212246 2424492