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494917632 = 21132112441
BaseRepresentation
bin11101011111111…
…101100000000000
31021111021102100200
4131133331200000
52003144331012
6121035445200
715156505356
oct3537754000
91244242320
10494917632
11234405a40
121198b6800
137b6c5991
1449a317d6
152d6b23dc
hex1d7fd800

494917632 has 144 divisors (see below), whose sum is σ = 1559998440. Its totient is φ = 149913600.

The previous prime is 494917627. The next prime is 494917639. The reversal of 494917632 is 236719494.

It is a happy number.

494917632 is a `hidden beast` number, since 4 + 9 + 4 + 9 + 1 + 7 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494917639) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201532 + ... + 203972.

Almost surely, 2494917632 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 494917632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779999220).

494917632 is an abundant number, since it is smaller than the sum of its proper divisors (1065080808).

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

494917632 is a wasteful number, since it uses less digits than its factorization.

494917632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480 (or 2457 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 494917632 is about 22246.7443011331. The cubic root of 494917632 is about 791.0021102284.

The spelling of 494917632 in words is "four hundred ninety-four million, nine hundred seventeen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2048 2112 2304 2441 2816 3072 3168 4224 4608 4882 5632 6144 6336 7323 8448 9216 9764 11264 12672 14646 16896 18432 19528 21969 22528 25344 26851 29292 33792 39056 43938 50688 53702 58584 67584 78112 80553 87876 101376 107404 117168 156224 161106 175752 202752 214808 234336 241659 312448 322212 351504 429616 468672 483318 624896 644424 703008 859232 937344 966636 1249792 1288848 1406016 1718464 1874688 1933272 2499584 2577696 2812032 3436928 3749376 3866544 4999168 5155392 5624064 6873856 7498752 7733088 10310784 11248128 13747712 14997504 15466176 20621568 22496256 27495424 30932352 41243136 44992512 54990848 61864704 82486272 123729408 164972544 247458816 494917632