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505440831 = 37219376773
BaseRepresentation
bin11110001000000…
…110101000111111
31022020002001110210
4132020012220333
52013343101311
6122053203503
715345114300
oct3610065077
91266061423
10505440831
1123a3431a5
12121330593
138093b71c
144b1b07a7
152e5903a6
hex1e206a3f

505440831 has 96 divisors (see below), whose sum is σ = 871944960. Its totient is φ = 258660864.

The previous prime is 505440829. The next prime is 505440839. The reversal of 505440831 is 138044505.

It is not a de Polignac number, because 505440831 - 21 = 505440829 is a prime.

It is a super-2 number, since 2×5054408312 = 510940867283941122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505440839) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6923811 + ... + 6923883.

It is an arithmetic number, because the mean of its divisors is an integer number (9082760).

Almost surely, 2505440831 is an apocalyptic number.

505440831 is a deficient number, since it is larger than the sum of its proper divisors (366504129).

505440831 is a wasteful number, since it uses less digits than its factorization.

505440831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 505440831 is about 22482.0112756844. The cubic root of 505440831 is about 796.5690731062.

The spelling of 505440831 in words is "five hundred five million, four hundred forty thousand, eight hundred thirty-one".

Divisors: 1 3 7 19 21 37 49 57 67 73 111 133 147 201 219 259 399 469 511 703 777 931 1273 1387 1407 1533 1813 2109 2479 2701 2793 3283 3577 3819 4161 4891 4921 5439 7437 8103 8911 9709 9849 10731 14673 14763 17353 18907 26733 29127 34237 34447 47101 51319 52059 56721 62377 67963 92929 102711 103341 121471 132349 141303 153957 180967 187131 203889 239659 278787 329707 359233 364413 397047 542901 650503 718977 989121 1077699 1266769 1951509 2307949 2514631 3438373 3800307 4553521 6923847 7543893 8867383 10315119 13660563 24068611 26602149 72205833 168480277 505440831