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4242132232 = 2313127509631
BaseRepresentation
bin1111110011011001…
…1100110100001000
3101221122022122102121
43330312130310020
532141441212412
61540535341024
7210060346312
oct37466346410
911848278377
104242132232
111887633808
129a4821774
13527b3ac20
142c35827b2
1519c653107
hexfcd9cd08

4242132232 has 64 divisors (see below), whose sum is σ = 8663961600. Its totient is φ = 1935601920.

The previous prime is 4242132229. The next prime is 4242132239. The reversal of 4242132232 is 2322312424.

It is a junction number, because it is equal to n+sod(n) for n = 4242132197 and 4242132206.

It is not an unprimeable number, because it can be changed into a prime (4242132239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6722557 + ... + 6723187.

It is an arithmetic number, because the mean of its divisors is an integer number (135374400).

Almost surely, 24242132232 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 4242132232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4331980800).

4242132232 is an abundant number, since it is smaller than the sum of its proper divisors (4421829368).

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

4242132232 is a wasteful number, since it uses less digits than its factorization.

4242132232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1282 counting only the distinct ones).

The product of its digits is 4608, while the sum is 25.

The square root of 4242132232 is about 65131.6530728339. The cubic root of 4242132232 is about 1618.8057336306.

Adding to 4242132232 its reverse (2322312424), we get a palindrome (6564444656).

The spelling of 4242132232 in words is "four billion, two hundred forty-two million, one hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 104 127 254 508 509 631 1016 1018 1262 1651 2036 2524 3302 4072 5048 6604 6617 8203 13208 13234 16406 26468 32812 52936 64643 65624 80137 129286 160274 258572 320548 321179 517144 641096 642358 840359 1041781 1284716 1680718 2083562 2569432 3361436 4167124 4175327 6722872 8334248 8350654 16701308 33402616 40789733 81579466 163158932 326317864 530266529 1060533058 2121066116 4242132232