Search a number
-
+
505472040 = 233255712459
BaseRepresentation
bin11110001000001…
…110010000101000
31022020010122021200
4132020032100220
52013400101130
6122054004200
715345304263
oct3610162050
91266118250
10505472040
1123a364697
12121346660
138094c9a8
144b1bbcda
152e599760
hex1e20e428

505472040 has 96 divisors (see below), whose sum is σ = 1646330400. Its totient is φ = 134501760.

The previous prime is 505472039. The next prime is 505472041. The reversal of 505472040 is 40274505.

It is an interprime number because it is at equal distance from previous prime (505472039) and next prime (505472041).

It is a junction number, because it is equal to n+sod(n) for n = 505471995 and 505472013.

It is not an unprimeable number, because it can be changed into a prime (505472041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204331 + ... + 206789.

It is an arithmetic number, because the mean of its divisors is an integer number (17149275).

Almost surely, 2505472040 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 505472040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823165200).

505472040 is an abundant number, since it is smaller than the sum of its proper divisors (1140858360).

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

505472040 is a wasteful number, since it uses less digits than its factorization.

505472040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 505472040 is about 22482.7053532265. The cubic root of 505472040 is about 796.5854677799.

The spelling of 505472040 in words is "five hundred five million, four hundred seventy-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 571 1142 1713 2284 2459 2855 3426 4568 4918 5139 5710 6852 7377 8565 9836 10278 11420 12295 13704 14754 17130 19672 20556 22131 22840 24590 25695 29508 34260 36885 41112 44262 49180 51390 59016 68520 73770 88524 98360 102780 110655 147540 177048 205560 221310 295080 442620 885240 1404089 2808178 4212267 5616356 7020445 8424534 11232712 12636801 14040890 16849068 21061335 25273602 28081780 33698136 42122670 50547204 56163560 63184005 84245340 101094408 126368010 168490680 252736020 505472040