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494558946 = 2357373929
BaseRepresentation
bin11101011110100…
…101111011100010
31021110121012100000
4131132211323202
52003101341241
6121024040430
715153452550
oct3536457342
91243535300
10494558946
11234190502
12119763116
137b5cb63b
144997abd0
152d640eb6
hex1d7a5ee2

494558946 has 96 divisors (see below), whose sum is σ = 1304634240. Its totient is φ = 137448576.

The previous prime is 494558927. The next prime is 494558947. The reversal of 494558946 is 649855494.

494558946 is a `hidden beast` number, since 49 + 4 + 558 + 9 + 46 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 494558892 and 494558901.

It is not an unprimeable number, because it can be changed into a prime (494558947) 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, 123910 + ... + 127838.

It is an arithmetic number, because the mean of its divisors is an integer number (13589940).

Almost surely, 2494558946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494558946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652317120).

494558946 is an abundant number, since it is smaller than the sum of its proper divisors (810075294).

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

494558946 is a wasteful number, since it uses less digits than its factorization.

494558946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3990 (or 3978 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 494558946 is about 22238.6813008326. The cubic root of 494558946 is about 790.8109740787.

The spelling of 494558946 in words is "four hundred ninety-four million, five hundred fifty-eight thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 81 111 126 162 189 222 243 259 333 378 486 518 567 666 777 999 1134 1554 1701 1998 2331 2997 3402 3929 4662 5994 6993 7858 8991 11787 13986 17982 20979 23574 27503 35361 41958 55006 62937 70722 82509 106083 125874 145373 165018 212166 247527 290746 318249 436119 495054 636498 742581 872238 954747 1017611 1308357 1485162 1909494 2035222 2227743 2616714 3052833 3925071 4455486 6105666 6683229 7850142 9158499 11775213 13366458 18316998 23550426 27475497 35325639 54950994 70651278 82426491 164852982 247279473 494558946