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494329968 = 2432113110067
BaseRepresentation
bin11101011101101…
…110000001110000
31021110011120020100
4131131232001300
52003022024333
6121015112400
715151510146
oct3535560160
91243146210
10494329968
11234044470
12119672700
137b54b352
144991b596
152d5e8213
hex1d76e070

494329968 has 120 divisors (see below), whose sum is σ = 1558043136. Its totient is φ = 144950400.

The previous prime is 494329963. The next prime is 494329987. The reversal of 494329968 is 869923494.

494329968 is a `hidden beast` number, since 494 + 3 + 2 + 99 + 68 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494329963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44071 + ... + 54137.

Almost surely, 2494329968 is an apocalyptic number.

494329968 is a gapful number since it is divisible by the number (48) 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 494329968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779021568).

494329968 is an abundant number, since it is smaller than the sum of its proper divisors (1063713168).

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

494329968 is a wasteful number, since it uses less digits than its factorization.

494329968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10123 (or 10114 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 494329968 is about 22233.5325128509. The cubic root of 494329968 is about 790.6889082326.

The spelling of 494329968 in words is "four hundred ninety-four million, three hundred twenty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 33 36 44 48 62 66 72 88 93 99 124 132 144 176 186 198 248 264 279 341 372 396 496 528 558 682 744 792 1023 1116 1364 1488 1584 2046 2232 2728 3069 4092 4464 5456 6138 8184 10067 12276 16368 20134 24552 30201 40268 49104 60402 80536 90603 110737 120804 161072 181206 221474 241608 312077 332211 362412 442948 483216 624154 664422 724824 885896 936231 996633 1248308 1328844 1449648 1771792 1872462 1993266 2496616 2657688 2808693 3432847 3744924 3986532 4993232 5315376 5617386 6865694 7489848 7973064 10298541 11234772 13731388 14979696 15946128 20597082 22469544 27462776 30895623 41194164 44939088 54925552 61791246 82388328 123582492 164776656 247164984 494329968