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493321104 = 2435314093
BaseRepresentation
bin11101011001110…
…111101110010000
31021101021022100000
4131121313232100
52002242233404
6120541330000
715140105643
oct3531675620
91241238300
10493321104
112335154a1
12119266900
137b2870a3
1449737a5a
152d499339
hex1d677b90

493321104 has 120 divisors (see below), whose sum is σ = 1478294272. Its totient is φ = 159096960.

The previous prime is 493321057. The next prime is 493321121. The reversal of 493321104 is 401123394.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 118482 + ... + 122574.

Almost surely, 2493321104 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 493321104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739147136).

493321104 is an abundant number, since it is smaller than the sum of its proper divisors (984973168).

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

493321104 is a wasteful number, since it uses less digits than its factorization.

493321104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4147 (or 4129 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 493321104 is about 22210.8330325542. The cubic root of 493321104 is about 790.1506437072.

Adding to 493321104 its reverse (401123394), we get a palindrome (894444498).

The spelling of 493321104 in words is "four hundred ninety-three million, three hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 124 144 162 186 216 243 248 279 324 372 432 486 496 558 648 744 837 972 1116 1296 1488 1674 1944 2232 2511 3348 3888 4093 4464 5022 6696 7533 8186 10044 12279 13392 15066 16372 20088 24558 30132 32744 36837 40176 49116 60264 65488 73674 98232 110511 120528 126883 147348 196464 221022 253766 294696 331533 380649 442044 507532 589392 663066 761298 884088 994599 1015064 1141947 1326132 1522596 1768176 1989198 2030128 2283894 2652264 3045192 3425841 3978396 4567788 5304528 6090384 6851682 7956792 9135576 10277523 13703364 15913584 18271152 20555046 27406728 30832569 41110092 54813456 61665138 82220184 123330276 164440368 246660552 493321104