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494070640 = 24571276947
BaseRepresentation
bin11101011100101…
…110101101110000
31021102200101111121
4131130232231300
52002440230030
6121005352024
715146350120
oct3534565560
91242611447
10494070640
11233987648
12119568614
137b48a2bb
1449890c80
152d59647a
hex1d72eb70

494070640 has 80 divisors (see below), whose sum is σ = 1323343872. Its totient is φ = 168037632.

The previous prime is 494070631. The next prime is 494070649. The reversal of 494070640 is 46070494.

It is an interprime number because it is at equal distance from previous prime (494070631) and next prime (494070649).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 494070596 and 494070605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494070649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67647 + ... + 74593.

Almost surely, 2494070640 is an apocalyptic number.

494070640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494070640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661671936).

494070640 is an abundant number, since it is smaller than the sum of its proper divisors (829273232).

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

494070640 is a wasteful number, since it uses less digits than its factorization.

494070640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7094 (or 7088 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 494070640 is about 22227.6998360154. The cubic root of 494070640 is about 790.5506175811.

The spelling of 494070640 in words is "four hundred ninety-four million, seventy thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 127 140 254 280 508 560 635 889 1016 1270 1778 2032 2540 3556 4445 5080 6947 7112 8890 10160 13894 14224 17780 27788 34735 35560 48629 55576 69470 71120 97258 111152 138940 194516 243145 277880 389032 486290 555760 778064 882269 972580 1764538 1945160 3529076 3890320 4411345 6175883 7058152 8822690 12351766 14116304 17645380 24703532 30879415 35290760 49407064 61758830 70581520 98814128 123517660 247035320 494070640