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5032142424 = 23324312591291
BaseRepresentation
bin1001010111111000…
…00110011001011000
3110222200212022200100
410223330012121120
540301212024144
62151200135400
7235462335111
oct45374063130
913880768610
105032142424
1121525710a1
12b85307560
13622703a8a
1435a46b208
151e6ba5269
hex12bf06658

5032142424 has 96 divisors (see below), whose sum is σ = 13967553600. Its totient is φ = 1635802560.

The previous prime is 5032142411. The next prime is 5032142449. The reversal of 5032142424 is 4242412305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3897219 + ... + 3898509.

It is an arithmetic number, because the mean of its divisors is an integer number (145495350).

Almost surely, 25032142424 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 5032142424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6983776800).

5032142424 is an abundant number, since it is smaller than the sum of its proper divisors (8935411176).

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

5032142424 is a wasteful number, since it uses less digits than its factorization.

5032142424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2605 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 5032142424 is about 70937.5952792312. The cubic root of 5032142424 is about 1713.6323076737.

Adding to 5032142424 its reverse (4242412305), we get a palindrome (9274554729).

It can be divided in two parts, 5032 and 142424, that added together give a square (147456 = 3842).

The spelling of 5032142424 in words is "five billion, thirty-two million, one hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1259 1291 1548 2518 2582 3096 3777 3873 5036 5164 7554 7746 10072 10328 11331 11619 15108 15492 22662 23238 30216 30984 45324 46476 54137 55513 90648 92952 108274 111026 162411 166539 216548 222052 324822 333078 433096 444104 487233 499617 649644 666156 974466 999234 1299288 1332312 1625369 1948932 1998468 3250738 3897864 3996936 4876107 6501476 9752214 13002952 14628321 19504428 29256642 39008856 58513284 69890867 117026568 139781734 209672601 279563468 419345202 559126936 629017803 838690404 1258035606 1677380808 2516071212 5032142424