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1312898848 = 25174575281
BaseRepresentation
bin100111001000001…
…0011111100100000
310101111110011122021
41032100103330200
510142100230343
6334135551224
744351312302
oct11620237440
93344404567
101312898848
11614108378
1230782b514
1317c003131
14c651b972
157a3dc0ed
hex4e413f20

1312898848 has 48 divisors (see below), whose sum is σ = 2743322904. Its totient is φ = 616366080.

The previous prime is 1312898813. The next prime is 1312898849. The reversal of 1312898848 is 8488982131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1234257424 + 78641424 = 35132^2 + 8868^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1312898795 and 1312898804.

It is not an unprimeable number, because it can be changed into a prime (1312898849) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 245968 + ... + 251248.

Almost surely, 21312898848 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 1312898848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371661452).

1312898848 is an abundant number, since it is smaller than the sum of its proper divisors (1430424056).

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

1312898848 is a wasteful number, since it uses less digits than its factorization.

1312898848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5765 (or 5757 counting only the distinct ones).

The product of its digits is 884736, while the sum is 52.

The square root of 1312898848 is about 36233.9460727092. The cubic root of 1312898848 is about 1094.9906792921.

The spelling of 1312898848 in words is "one billion, three hundred twelve million, eight hundred ninety-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 457 544 914 1828 3656 5281 7312 7769 10562 14624 15538 21124 31076 42248 62152 84496 89777 124304 168992 179554 248608 359108 718216 1436432 2413417 2872864 4826834 9653668 19307336 38614672 41028089 77229344 82056178 164112356 328224712 656449424 1312898848