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1352052224 = 2937149479
BaseRepresentation
bin101000010010110…
…1010111000000000
310111020010100222022
41100211222320000
510232111132344
6342055101012
745335153135
oct12045527000
93436110868
101352052224
1163421a936
12318971768
13187161503
14cb7d058c
157da730ee
hex5096ae00

1352052224 has 80 divisors (see below), whose sum is σ = 2798928000. Its totient is φ = 651976704.

The previous prime is 1352052223. The next prime is 1352052281. The reversal of 1352052224 is 4222502531.

It is a junction number, because it is equal to n+sod(n) for n = 1352052193 and 1352052202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352052223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2822417 + ... + 2822895.

It is an arithmetic number, because the mean of its divisors is an integer number (34986600).

Almost surely, 21352052224 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 1352052224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399464000).

1352052224 is an abundant number, since it is smaller than the sum of its proper divisors (1446875776).

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

1352052224 is an equidigital number, since it uses as much as digits as its factorization.

1352052224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 1352052224 is about 36770.2627676224. The cubic root of 1352052224 is about 1105.7691999655.

Adding to 1352052224 its reverse (4222502531), we get a palindrome (5574554755).

The spelling of 1352052224 in words is "one billion, three hundred fifty-two million, fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 149 256 296 298 479 512 592 596 958 1184 1192 1916 2368 2384 3832 4736 4768 5513 7664 9472 9536 11026 15328 17723 18944 19072 22052 30656 35446 38144 44104 61312 70892 71371 76288 88208 122624 141784 142742 176416 245248 283568 285484 352832 567136 570968 705664 1134272 1141936 1411328 2268544 2283872 2640727 2822656 4537088 4567744 5281454 9074176 9135488 10562908 18270976 21125816 36541952 42251632 84503264 169006528 338013056 676026112 1352052224