Search a number
-
+
1424388992 = 27133153521
BaseRepresentation
bin101010011100110…
…0111001110000000
310200021020110100212
41110321213032000
510404120421432
6353201333252
750204051405
oct12471471600
93607213325
101424388992
11671037594
12339037228
1319913a830
14d72602ac
15850b12b2
hex54e67380

1424388992 has 128 divisors (see below), whose sum is σ = 3220197120. Its totient is φ = 623001600.

The previous prime is 1424388859. The next prime is 1424389009. The reversal of 1424388992 is 2998834241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1424388992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2733692 + ... + 2734212.

It is an arithmetic number, because the mean of its divisors is an integer number (25157790).

Almost surely, 21424388992 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 1424388992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610098560).

1424388992 is an abundant number, since it is smaller than the sum of its proper divisors (1795808128).

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

1424388992 is a wasteful number, since it uses less digits than its factorization.

1424388992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 620 counting only the distinct ones).

The product of its digits is 995328, while the sum is 50.

The square root of 1424388992 is about 37741.0783099794. The cubic root of 1424388992 is about 1125.1476986657.

The spelling of 1424388992 in words is "one billion, four hundred twenty-four million, three hundred eighty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 53 62 64 104 106 124 128 208 212 248 403 416 424 496 521 689 806 832 848 992 1042 1378 1612 1643 1664 1696 1984 2084 2756 3224 3286 3392 3968 4168 5512 6448 6572 6773 6784 8336 11024 12896 13144 13546 16151 16672 21359 22048 25792 26288 27092 27613 32302 33344 42718 44096 51584 52576 54184 55226 64604 66688 85436 88192 105152 108368 110452 129208 170872 209963 210304 216736 220904 258416 341744 358969 419926 433472 441808 516832 683488 717938 839852 856003 866944 883616 1033664 1366976 1435876 1679704 1712006 1767232 2067328 2733952 2871752 3359408 3424012 3534464 5743504 6718816 6848024 11128039 11487008 13437632 13696048 22256078 22974016 26875264 27392096 44512156 45948032 54784192 89024312 109568384 178048624 356097248 712194496 1424388992