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493580934 = 232711477577
BaseRepresentation
bin11101011010110…
…111001010000110
31021101202111202100
4131122313022012
52002324042214
6120551052530
715142240320
oct3532671206
91241674670
10493580934
11233682730
12119371146
137b348432
14497a4610
152d4eb309
hex1d6b7286

493580934 has 96 divisors (see below), whose sum is σ = 1361857536. Its totient is φ = 125458560.

The previous prime is 493580933. The next prime is 493580953. The reversal of 493580934 is 439085394.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 493580934.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493580933) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61354 + ... + 68930.

It is an arithmetic number, because the mean of its divisors is an integer number (14186016).

Almost surely, 2493580934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493580934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680928768).

493580934 is an abundant number, since it is smaller than the sum of its proper divisors (868276602).

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

493580934 is a wasteful number, since it uses less digits than its factorization.

493580934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7650 (or 7647 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 493580934 is about 22216.6814353539. The cubic root of 493580934 is about 790.2893422859.

The spelling of 493580934 in words is "four hundred ninety-three million, five hundred eighty thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 47 63 66 77 94 99 126 141 154 198 231 282 329 423 462 517 658 693 846 987 1034 1386 1551 1974 2961 3102 3619 4653 5922 7238 7577 9306 10857 15154 21714 22731 32571 45462 53039 65142 68193 83347 106078 136386 159117 166694 250041 318234 356119 477351 500082 583429 712238 750123 954702 1068357 1166858 1500246 1750287 2136714 2492833 3205071 3500574 3917309 4985666 5250861 6410142 7478499 7834618 10501722 11751927 14956998 22435497 23503854 27421163 35255781 44870994 54842326 70511562 82263489 164526978 246790467 493580934