Search a number
-
+
1289348442 = 23417468173
BaseRepresentation
bin100110011011001…
…1110010101011010
310022212010200120000
41030312132111122
510120033122232
6331535113430
743644165234
oct11466362532
93285120500
101289348442
11601892628
122bb972876
13177178995
14c334b254
15782d927c
hex4cd9e55a

1289348442 has 40 divisors (see below), whose sum is σ = 3059048916. Its totient is φ = 404500608.

The previous prime is 1289348387. The next prime is 1289348449. The reversal of 1289348442 is 2448439821.

1289348442 is a `hidden beast` number, since 128 + 9 + 3 + 484 + 42 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1187560521 + 101787921 = 34461^2 + 10089^2 .

It is not an unprimeable number, because it can be changed into a prime (1289348449) 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 19 ways as a sum of consecutive naturals, for example, 231333 + ... + 236840.

Almost surely, 21289348442 is an apocalyptic number.

1289348442 is an abundant number, since it is smaller than the sum of its proper divisors (1769700474).

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

1289348442 is a wasteful number, since it uses less digits than its factorization.

1289348442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468204 (or 468195 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 1289348442 is about 35907.4984091067. The cubic root of 1289348442 is about 1088.4039266909.

The spelling of 1289348442 in words is "one billion, two hundred eighty-nine million, three hundred forty-eight thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 918 1377 2754 468173 936346 1404519 2809038 4213557 7958941 8427114 12640671 15917882 23876823 25281342 37922013 47753646 71630469 75844026 143260938 214891407 429782814 644674221 1289348442