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3940000493 = 11131941113313
BaseRepresentation
bin1110101011010111…
…1010001011101101
3101011120210202121012
43222311322023231
531032120003433
61450543515005
7166431310622
oct35265721355
911146722535
103940000493
111742033760
1291b5b8a65
134aa374a50
142953b6349
15180d72848
hexead7a2ed

3940000493 has 64 divisors (see below), whose sum is σ = 5051531520. Its totient is φ = 3019161600.

The previous prime is 3940000489. The next prime is 3940000513.

3940000493 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3940000493 - 22 = 3940000489 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3940000693) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12587705 + ... + 12588017.

It is an arithmetic number, because the mean of its divisors is an integer number (78930180).

Almost surely, 23940000493 is an apocalyptic number.

It is an amenable number.

3940000493 is a deficient number, since it is larger than the sum of its proper divisors (1111531027).

3940000493 is a wasteful number, since it uses less digits than its factorization.

3940000493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510.

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 3940000493 is about 62769.4232329723. The cubic root of 3940000493 is about 1579.4240935058.

It can be divided in two parts, 3940000 and 493, that added together give a palindrome (3940493).

The spelling of 3940000493 in words is "three billion, nine hundred forty million, four hundred ninety-three", and thus it is an aban number.

Divisors: 1 11 13 19 41 113 143 209 247 313 451 533 779 1243 1469 2147 2717 3443 4069 4633 5863 5947 8569 10127 12833 16159 23617 27911 35369 44759 50963 60229 65417 77311 88027 111397 141163 166829 243827 307021 389059 459797 662519 672011 850421 968297 1144351 1450129 1835119 2682097 3169751 5057767 7392121 8736143 12587861 15951419 18851677 27552451 34867261 96097573 207368447 303076961 358181863 3940000493