Search a number
-
+
2432212432 = 241319759357
BaseRepresentation
bin1001000011111000…
…1001110111010000
320021111122012012221
42100332021313100
514440121244212
61041202430424
7114162315226
oct22076116720
96244565187
102432212432
111038a14221
1257a662414
132c9b86970
14191046b16
15e37da807
hex90f89dd0

2432212432 has 40 divisors (see below), whose sum is σ = 5100751656. Its totient is φ = 1116842496.

The previous prime is 2432212379. The next prime is 2432212499. The reversal of 2432212432 is 2342122342.

It can be written as a sum of positive squares in 4 ways, for example, as 618815376 + 1813397056 = 24876^2 + 42584^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2432212397 and 2432212406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11298 + ... + 70654.

Almost surely, 22432212432 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 2432212432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550375828).

2432212432 is an abundant number, since it is smaller than the sum of its proper divisors (2668539224).

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

2432212432 is a wasteful number, since it uses less digits than its factorization.

2432212432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59575 (or 59569 counting only the distinct ones).

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

The square root of 2432212432 is about 49317.4657905290. The cubic root of 2432212432 is about 1344.8293167967.

Adding to 2432212432 its reverse (2342122342), we get a palindrome (4774334774).

The spelling of 2432212432 in words is "two billion, four hundred thirty-two million, two hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 197 208 394 788 1576 2561 3152 5122 10244 20488 40976 59357 118714 237428 474856 771641 949712 1543282 3086564 6173128 11693329 12346256 23386658 46773316 93546632 152013277 187093264 304026554 608053108 1216106216 2432212432