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2432013332 = 227532396857
BaseRepresentation
bin1001000011110101…
…1001010000010100
320021111021002002212
42100331121100110
514440043411312
61041154252552
7114160525610
oct22075312024
96244232085
102432013332
111038898681
1257a587158
132c9b17158
14190dd4340
15e379b822
hex90f59414

2432013332 has 48 divisors (see below), whose sum is σ = 4977262080. Its totient is φ = 1018198272.

The previous prime is 2432013329. The next prime is 2432013343. The reversal of 2432013332 is 2333102342.

It is a junction number, because it is equal to n+sod(n) for n = 2432013298 and 2432013307.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 351248 + ... + 358104.

It is an arithmetic number, because the mean of its divisors is an integer number (103692960).

Almost surely, 22432013332 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 2432013332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488631040).

2432013332 is an abundant number, since it is smaller than the sum of its proper divisors (2545248748).

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

2432013332 is a wasteful number, since it uses less digits than its factorization.

2432013332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7160 (or 7158 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 2432013332 is about 49315.4471945657. The cubic root of 2432013332 is about 1344.7926200537.

Adding to 2432013332 its reverse (2333102342), we get a palindrome (4765115674).

The spelling of 2432013332 in words is "two billion, four hundred thirty-two million, thirteen thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 53 106 212 239 371 478 742 956 1484 1673 3346 6692 6857 12667 13714 25334 27428 47999 50668 88669 95998 177338 191996 354676 363421 726842 1453684 1638823 2543947 3277646 5087894 6555292 10175788 11471761 22943522 45887044 86857619 173715238 347430476 608003333 1216006666 2432013332