Search a number
-
+
19314048 = 273135373
BaseRepresentation
bin100100110101…
…1010110000000
31100100020220010
41021223112000
514421022143
61525544520
7323111115
oct111532600
940306803
1019314048
11a9a1a26
126575140
134003140
1427ca90c
151a67a33
hex126b580

19314048 has 128 divisors (see below), whose sum is σ = 57062880. Its totient is φ = 5750784.

The previous prime is 19314041. The next prime is 19314049. The reversal of 19314048 is 84041391.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19314041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264540 + ... + 264612.

Almost surely, 219314048 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 19314048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28531440).

19314048 is an abundant number, since it is smaller than the sum of its proper divisors (37748832).

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

19314048 is a wasteful number, since it uses less digits than its factorization.

19314048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 19314048 is about 4394.7750795689. The cubic root of 19314048 is about 268.3023246020.

It can be divided in two parts, 193 and 14048, that added together give a palindrome (14241).

The spelling of 19314048 in words is "nineteen million, three hundred fourteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 64 73 78 96 104 106 128 146 156 159 192 208 212 219 292 312 318 384 416 424 438 584 624 636 689 832 848 876 949 1168 1248 1272 1378 1664 1696 1752 1898 2067 2336 2496 2544 2756 2847 3392 3504 3796 3869 4134 4672 4992 5088 5512 5694 6784 7008 7592 7738 8268 9344 10176 11024 11388 11607 14016 15184 15476 16536 20352 22048 22776 23214 28032 30368 30952 33072 44096 45552 46428 50297 60736 61904 66144 88192 91104 92856 100594 121472 123808 132288 150891 182208 185712 201188 247616 264576 301782 364416 371424 402376 495232 603564 742848 804752 1207128 1485696 1609504 2414256 3219008 4828512 6438016 9657024 19314048