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505750896 = 243271792803
BaseRepresentation
bin11110001001010…
…010010101110000
31022020122210210200
4132021102111300
52013433012041
6122103555200
715350545260
oct3611222560
91266583720
10505750896
1123a535152
1212145bb00
1380a198b1
144b2517a0
152e6021b6
hex1e252570

505750896 has 120 divisors (see below), whose sum is σ = 1627217280. Its totient is φ = 143641728.

The previous prime is 505750871. The next prime is 505751011. The reversal of 505750896 is 698057505.

505750896 is a `hidden beast` number, since 5 + 0 + 57 + 508 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 179031 + ... + 181833.

It is an arithmetic number, because the mean of its divisors is an integer number (13560144).

Almost surely, 2505750896 is an apocalyptic number.

505750896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505750896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813608640).

505750896 is an abundant number, since it is smaller than the sum of its proper divisors (1121466384).

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

505750896 is a wasteful number, since it uses less digits than its factorization.

505750896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 505750896 is about 22488.9060649912. The cubic root of 505750896 is about 796.7319261290.

The spelling of 505750896 in words is "five hundred five million, seven hundred fifty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 179 252 336 358 504 537 716 1008 1074 1253 1432 1611 2148 2506 2803 2864 3222 3759 4296 5012 5606 6444 7518 8409 8592 10024 11212 11277 12888 15036 16818 19621 20048 22424 22554 25227 25776 30072 33636 39242 44848 45108 50454 58863 60144 67272 78484 90216 100908 117726 134544 156968 176589 180432 201816 235452 313936 353178 403632 470904 501737 706356 941808 1003474 1412712 1505211 2006948 2825424 3010422 3512159 4013896 4515633 6020844 7024318 8027792 9031266 10536477 12041688 14048636 18062532 21072954 24083376 28097272 31609431 36125064 42145908 56194544 63218862 72250128 84291816 126437724 168583632 252875448 505750896