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493772840 = 2351141101271
BaseRepresentation
bin11101011011100…
…110000000101000
31021102010020222222
4131123212000220
52002401212330
6120555133212
715143666651
oct3533460050
91242106888
10493772840
112337a3930
12119444208
137b3b48a2
1449814528
152d5380e5
hex1d6e6028

493772840 has 128 divisors (see below), whose sum is σ = 1258467840. Its totient is φ = 172800000.

The previous prime is 493772819. The next prime is 493772843. The reversal of 493772840 is 48277394.

It is a Cunningham number, because it is equal to 222212-1.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 493772791 and 493772800.

It is not an unprimeable number, because it can be changed into a prime (493772843) 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 31 ways as a sum of consecutive naturals, for example, 1821905 + ... + 1822175.

It is an arithmetic number, because the mean of its divisors is an integer number (9831780).

Almost surely, 2493772840 is an apocalyptic number.

493772840 is a gapful number since it is divisible by the number (40) 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 493772840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629233920).

493772840 is an abundant number, since it is smaller than the sum of its proper divisors (764695000).

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

493772840 is a wasteful number, since it uses less digits than its factorization.

493772840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 44.

The square root of 493772840 is about 22220.9999774988. Note that the first 4 decimals coincide. The cubic root of 493772840 is about 790.3917514383.

It can be divided in two parts, 4937 and 72840, that added together give a palindrome (77777).

The spelling of 493772840 in words is "four hundred ninety-three million, seven hundred seventy-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 101 110 164 202 205 220 271 328 404 410 440 451 505 542 808 820 902 1010 1084 1111 1355 1640 1804 2020 2168 2222 2255 2710 2981 3608 4040 4141 4444 4510 5420 5555 5962 8282 8888 9020 10840 11110 11111 11924 14905 16564 18040 20705 22220 22222 23848 27371 29810 33128 41410 44440 44444 45551 54742 55555 59620 82820 88888 91102 109484 111110 119240 122221 136855 165640 182204 218968 222220 227755 244442 273710 301081 364408 444440 455510 488884 547420 602162 611105 911020 977768 1094840 1122211 1204324 1222210 1505405 1822040 2244422 2408648 2444420 3010810 4488844 4888840 5611055 6021620 8977688 11222110 12043240 12344321 22444220 24688642 44888440 49377284 61721605 98754568 123443210 246886420 493772840