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493698996 = 223374315187
BaseRepresentation
bin11101011011010…
…011111110110100
31021101222111201000
4131123103332310
52002341331441
6120553403300
715143241450
oct3533237664
91241874630
10493698996
112337533aa
12119409530
137b38a0ab
14497d5660
152d5212b6
hex1d6d3fb4

493698996 has 96 divisors (see below), whose sum is σ = 1496929280. Its totient is φ = 137767392.

The previous prime is 493698991. The next prime is 493699001. The reversal of 493698996 is 699896394.

493698996 is a `hidden beast` number, since 493 + 69 + 89 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (493698991) and next prime (493699001).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493698991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24915 + ... + 40101.

Almost surely, 2493698996 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 493698996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748464640).

493698996 is an abundant number, since it is smaller than the sum of its proper divisors (1003230284).

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

493698996 is a wasteful number, since it uses less digits than its factorization.

493698996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15250 (or 15242 counting only the distinct ones).

The product of its digits is 22674816, while the sum is 63.

The square root of 493698996 is about 22219.3383339829. The cubic root of 493698996 is about 790.3523483001.

The spelling of 493698996 in words is "four hundred ninety-three million, six hundred ninety-eight thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 54 63 84 86 108 126 129 172 189 252 258 301 378 387 516 602 756 774 903 1161 1204 1548 1806 2322 2709 3612 4644 5418 8127 10836 15187 16254 30374 32508 45561 60748 91122 106309 136683 182244 212618 273366 318927 410049 425236 546732 637854 653041 820098 956781 1275708 1306082 1640196 1913562 1959123 2612164 2870343 3827124 3918246 4571287 5740686 5877369 7836492 9142574 11481372 11754738 13713861 17632107 18285148 23509476 27427722 35264214 41141583 54855444 70528428 82283166 123424749 164566332 246849498 493698996