Search a number
-
+
514497792 = 28317157251
BaseRepresentation
bin11110101010101…
…001110100000000
31022212010012021210
4132222221310000
52023202412132
6123015250120
715515105364
oct3652516400
91285105253
10514497792
11244469896
12124379940
138278cc83
144c48b2a4
153027dbcc
hex1eaa9d00

514497792 has 144 divisors (see below), whose sum is σ = 1464910272. Its totient is φ = 159744000.

The previous prime is 514497791. The next prime is 514497799. The reversal of 514497792 is 297794415.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514497791) 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 15 ways as a sum of consecutive naturals, for example, 2049667 + ... + 2049917.

It is an arithmetic number, because the mean of its divisors is an integer number (10172988).

Almost surely, 2514497792 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 514497792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732455136).

514497792 is an abundant number, since it is smaller than the sum of its proper divisors (950412480).

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

514497792 is a wasteful number, since it uses less digits than its factorization.

514497792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 430 counting only the distinct ones).

The product of its digits is 635040, while the sum is 48.

The square root of 514497792 is about 22682.5437726900. The cubic root of 514497792 is about 801.2988235140.

The spelling of 514497792 in words is "five hundred fourteen million, four hundred ninety-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 157 192 204 251 256 272 314 384 408 471 502 544 628 753 768 816 942 1004 1088 1256 1506 1632 1884 2008 2176 2512 2669 3012 3264 3768 4016 4267 4352 5024 5338 6024 6528 7536 8007 8032 8534 10048 10676 12048 12801 13056 15072 16014 16064 17068 20096 21352 24096 25602 30144 32028 32128 34136 39407 40192 42704 48192 51204 60288 64056 64256 68272 78814 85408 96384 102408 118221 120576 128112 136544 157628 170816 192768 204816 236442 256224 273088 315256 341632 409632 472884 512448 546176 630512 669919 683264 819264 945768 1024896 1092352 1261024 1339838 1638528 1891536 2009757 2049792 2522048 2679676 3277056 3783072 4019514 5044096 5359352 7566144 8039028 10088192 10718704 15132288 16078056 21437408 30264576 32156112 42874816 64312224 85749632 128624448 171499264 257248896 514497792