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2431426056 = 2334397107227
BaseRepresentation
bin1001000011101100…
…1001111000001000
320021110011020111220
42100323021320020
514434421113211
61041133522040
7114152531463
oct22073117010
96243136456
102431426056
111038527424
1257a343320
132c996ca57
14190cc02da
15e36d2806
hex90ec9e08

2431426056 has 128 divisors (see below), whose sum is σ = 6370721280. Its totient is φ = 772724736.

The previous prime is 2431426031. The next prime is 2431426057. The reversal of 2431426056 is 6506241342.

It is not an unprimeable number, because it can be changed into a prime (2431426057) 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 31 ways as a sum of consecutive naturals, for example, 10711015 + ... + 10711241.

It is an arithmetic number, because the mean of its divisors is an integer number (49771260).

Almost surely, 22431426056 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 2431426056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185360640).

2431426056 is an abundant number, since it is smaller than the sum of its proper divisors (3939295224).

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

2431426056 is a wasteful number, since it uses less digits than its factorization.

2431426056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 2431426056 is about 49309.4925546796. The cubic root of 2431426056 is about 1344.6843657117.

Adding to 2431426056 its reverse (6506241342), we get a palindrome (8937667398).

The spelling of 2431426056 in words is "two billion, four hundred thirty-one million, four hundred twenty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 24 43 86 97 107 129 172 194 214 227 258 291 321 344 388 428 454 516 582 642 681 776 856 908 1032 1164 1284 1362 1816 2328 2568 2724 4171 4601 5448 8342 9202 9761 10379 12513 13803 16684 18404 19522 20758 22019 24289 25026 27606 29283 31137 33368 36808 39044 41516 44038 48578 50052 55212 58566 62274 66057 72867 78088 83032 88076 97156 100104 110424 117132 124548 132114 145734 176152 194312 234264 249096 264228 291468 446297 528456 582936 892594 946817 1044427 1338891 1785188 1893634 2088854 2356033 2677782 2840451 3133281 3570376 3787268 4177708 4712066 5355564 5680902 6266562 7068099 7574536 8355416 9424132 10711128 11361804 12533124 14136198 18848264 22723608 25066248 28272396 56544792 101309419 202618838 303928257 405237676 607856514 810475352 1215713028 2431426056