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531214145 = 57211439449
BaseRepresentation
bin11111101010011…
…010111101000001
31101000120110210222
4133222122331001
52041442323040
6124413432425
716110150200
oct3752327501
91330513728
10531214145
11252947060
12129a9b715
13860938c7
145079d237
1531981bb5
hex1fa9af41

531214145 has 48 divisors (see below), whose sum is σ = 812592000. Its totient is φ = 329656320.

The previous prime is 531214139. The next prime is 531214207. The reversal of 531214145 is 541412135.

It is not a de Polignac number, because 531214145 - 28 = 531213889 is a prime.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1182881 + ... + 1183329.

It is an arithmetic number, because the mean of its divisors is an integer number (16929000).

Almost surely, 2531214145 is an apocalyptic number.

531214145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

531214145 is a deficient number, since it is larger than the sum of its proper divisors (281377855).

531214145 is a wasteful number, since it uses less digits than its factorization.

531214145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 911 counting only the distinct ones).

The product of its digits is 2400, while the sum is 26.

The square root of 531214145 is about 23048.0833259514. The cubic root of 531214145 is about 809.8847293163.

The spelling of 531214145 in words is "five hundred thirty-one million, two hundred fourteen thousand, one hundred forty-five".

Divisors: 1 5 7 11 35 49 55 77 245 385 439 449 539 2195 2245 2695 3073 3143 4829 4939 15365 15715 21511 22001 24145 24695 33803 34573 107555 110005 169015 172865 197111 236621 242011 985555 1183105 1210055 1379777 2168221 6898885 9658439 10841105 15177547 48292195 75887735 106242829 531214145