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2426424 = 23371113101
BaseRepresentation
bin1001010000011000111000
311120021102120
421100120320
51110121144
6124001240
726424060
oct11203070
94507376
102426424
111408010
12990220
1366c570
144723a0
1532de19
hex250638

2426424 has 128 divisors (see below), whose sum is σ = 8225280. Its totient is φ = 576000.

The previous prime is 2426399. The next prime is 2426441. The reversal of 2426424 is 4246242.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a d-powerful number, because it can be written as 23 + 44 + 25 + 64 + 48 + 221 + 49 .

It is a junction number, because it is equal to n+sod(n) for n = 2426394 and 2426403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23974 + ... + 24074.

It is an arithmetic number, because the mean of its divisors is an integer number (64260).

22426424 is an apocalyptic number.

2426424 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 2426424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112640).

2426424 is an abundant number, since it is smaller than the sum of its proper divisors (5798856).

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

2426424 is a wasteful number, since it uses less digits than its factorization.

2426424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 137 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 2426424 is about 1557.6983019828. The cubic root of 2426424 is about 134.3761614466.

2426424 divided by its sum of digits (24) gives a palindrome (101101).

It can be divided in two parts, 2426 and 424, that added together give a triangular number (2850 = T75).

The spelling of 2426424 in words is "two million, four hundred twenty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 101 104 132 143 154 156 168 182 202 231 264 273 286 303 308 312 364 404 429 462 546 572 606 616 707 728 808 858 924 1001 1092 1111 1144 1212 1313 1414 1716 1848 2002 2121 2184 2222 2424 2626 2828 3003 3333 3432 3939 4004 4242 4444 5252 5656 6006 6666 7777 7878 8008 8484 8888 9191 10504 12012 13332 14443 15554 15756 16968 18382 23331 24024 26664 27573 28886 31108 31512 36764 43329 46662 55146 57772 62216 73528 86658 93324 101101 110292 115544 173316 186648 202202 220584 303303 346632 404404 606606 808808 1213212 2426424