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494716032 = 2733433329
BaseRepresentation
bin11101011111001…
…100010010000000
31021110220011211000
4131133030102000
52003121403112
6121031252000
715155005536
oct3537142200
91243804730
10494716032
11234288528
1211981a000
137b654ca5
14499bc156
152d6727dc
hex1d7cc480

494716032 has 128 divisors (see below), whose sum is σ = 1494504000. Its totient is φ = 161021952.

The previous prime is 494716021. The next prime is 494716043. The reversal of 494716032 is 230617494.

494716032 is a `hidden beast` number, since 4 + 9 + 47 + 1 + 603 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (494716021) and next prime (494716043).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 146944 + ... + 150272.

Almost surely, 2494716032 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 494716032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747252000).

494716032 is an abundant number, since it is smaller than the sum of its proper divisors (999787968).

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

494716032 is a wasteful number, since it uses less digits than its factorization.

494716032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 494716032 is about 22242.2128395535. The cubic root of 494716032 is about 790.8946932413.

The spelling of 494716032 in words is "four hundred ninety-four million, seven hundred sixteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 128 129 144 172 192 216 258 288 344 384 387 432 516 576 688 774 864 1032 1152 1161 1376 1548 1728 2064 2322 2752 3096 3329 3456 4128 4644 5504 6192 6658 8256 9288 9987 12384 13316 16512 18576 19974 24768 26632 29961 37152 39948 49536 53264 59922 74304 79896 89883 106528 119844 143147 148608 159792 179766 213056 239688 286294 319584 359532 426112 429441 479376 572588 639168 719064 858882 958752 1145176 1278336 1288323 1438128 1717764 1917504 2290352 2576646 2876256 3435528 3835008 3864969 4580704 5153292 5752512 6871056 7729938 9161408 10306584 11505024 13742112 15459876 18322816 20613168 27484224 30919752 41226336 54968448 61839504 82452672 123679008 164905344 247358016 494716032