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494207616 = 2737533469
BaseRepresentation
bin11101011101010…
…000001010000000
31021102221100101210
4131131100022000
52003004120431
6121012330120
715150460350
oct3535201200
91242840353
10494207616
11233a70551
12119613940
137b507756
14498c8b60
152d5c1d46
hex1d750280

494207616 has 128 divisors (see below), whose sum is σ = 1529020800. Its totient is φ = 138498048.

The previous prime is 494207603. The next prime is 494207617. The reversal of 494207616 is 616702494.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (494207617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140730 + ... + 144198.

It is an arithmetic number, because the mean of its divisors is an integer number (11945475).

Almost surely, 2494207616 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 494207616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764510400).

494207616 is an abundant number, since it is smaller than the sum of its proper divisors (1034813184).

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

494207616 is a wasteful number, since it uses less digits than its factorization.

494207616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 494207616 is about 22230.7808229940. The cubic root of 494207616 is about 790.6236681715.

The spelling of 494207616 in words is "four hundred ninety-four million, two hundred seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 128 159 168 192 212 224 318 336 371 384 424 448 636 672 742 848 896 1113 1272 1344 1484 1696 2226 2544 2688 2968 3392 3469 4452 5088 5936 6784 6938 8904 10176 10407 11872 13876 17808 20352 20814 23744 24283 27752 35616 41628 47488 48566 55504 71232 72849 83256 97132 111008 142464 145698 166512 183857 194264 222016 291396 333024 367714 388528 444032 551571 582792 666048 735428 777056 1103142 1165584 1286999 1332096 1470856 1554112 2206284 2331168 2573998 2941712 3108224 3860997 4412568 4662336 5147996 5883424 7721994 8825136 9324672 10295992 11766848 15443988 17650272 20591984 23533696 30887976 35300544 41183968 61775952 70601088 82367936 123551904 164735872 247103808 494207616