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493119616 = 27111918433
BaseRepresentation
bin11101011001000…
…110100010000000
31021100220001221111
4131121012202000
52002214311431
6120533133104
715135306343
oct3531064200
91240801844
10493119616
11233398080
1211918a194
137b216472
14496c445a
152d4597b1
hex1d646880

493119616 has 64 divisors (see below), whose sum is σ = 1128160800. Its totient is φ = 212336640.

The previous prime is 493119611. The next prime is 493119617. The reversal of 493119616 is 616911394.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (493119611) 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 7 ways as a sum of consecutive naturals, for example, 17536 + ... + 35968.

Almost surely, 2493119616 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 493119616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564080400).

493119616 is an abundant number, since it is smaller than the sum of its proper divisors (635041184).

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

493119616 is a wasteful number, since it uses less digits than its factorization.

493119616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18477 (or 18465 counting only the distinct ones).

The product of its digits is 34992, while the sum is 40.

The square root of 493119616 is about 22206.2967646566. The cubic root of 493119616 is about 790.0430548558.

The spelling of 493119616 in words is "four hundred ninety-three million, one hundred nineteen thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 304 352 418 608 704 836 1216 1408 1672 2432 3344 6688 13376 18433 26752 36866 73732 147464 202763 294928 350227 405526 589856 700454 811052 1179712 1400908 1622104 2359424 2801816 3244208 3852497 5603632 6488416 7704994 11207264 12976832 15409988 22414528 25953664 30819976 44829056 61639952 123279904 246559808 493119616