Search a number
-
+
2426124030 = 2351183101877
BaseRepresentation
bin1001000010011011…
…1011011011111110
320021002011212111120
42100212323123332
514432041432110
61040424131410
7114056466621
oct22046733376
96232155446
102426124030
111035535990
12578606b66
132c8834665
141902dddb8
15e2ed6870
hex909bb6fe

2426124030 has 128 divisors (see below), whose sum is σ = 6499616256. Its totient is φ = 574656000.

The previous prime is 2426124013. The next prime is 2426124047. The reversal of 2426124030 is 304216242.

It is an interprime number because it is at equal distance from previous prime (2426124013) and next prime (2426124047).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2765952 + ... + 2766828.

It is an arithmetic number, because the mean of its divisors is an integer number (50778252).

Almost surely, 22426124030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2426124030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249808128).

2426124030 is an abundant number, since it is smaller than the sum of its proper divisors (4073492226).

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

2426124030 is a wasteful number, since it uses less digits than its factorization.

2426124030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2426124030 is about 49255.7004822792. The cubic root of 2426124030 is about 1343.7062373922.

It can be divided in two parts, 242612 and 4030, that added together give a palindrome (246642).

The spelling of 2426124030 in words is "two billion, four hundred twenty-six million, one hundred twenty-four thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 83 101 110 165 166 202 249 303 330 415 498 505 606 830 877 913 1010 1111 1245 1515 1754 1826 2222 2490 2631 2739 3030 3333 4385 4565 5262 5478 5555 6666 8383 8770 9130 9647 11110 13155 13695 16665 16766 19294 25149 26310 27390 28941 33330 41915 48235 50298 57882 72791 83830 88577 92213 96470 125745 144705 145582 177154 184426 218373 251490 265731 276639 289410 363955 436746 442885 461065 531462 553278 727910 800701 885770 922130 974347 1091865 1328655 1383195 1601402 1948694 2183730 2402103 2657310 2766390 2923041 4003505 4804206 4871735 5846082 7351891 8007010 9743470 12010515 14615205 14703782 22055673 24021030 29230410 36759455 44111346 73518910 80870801 110278365 161741602 220556730 242612403 404354005 485224806 808708010 1213062015 2426124030