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493865172 = 2232413131069
BaseRepresentation
bin11101011011111…
…100100011010100
31021102021221122200
4131123330203110
52002412141142
6121001124500
715144533103
oct3533744324
91242257580
10493865172
11233857239
12119489730
137b417918
144983a03a
152d55564c
hex1d6fc8d4

493865172 has 72 divisors (see below), whose sum is σ = 1284115560. Its totient is φ = 159943680.

The previous prime is 493865167. The next prime is 493865179. The reversal of 493865172 is 271568394.

It can be written as a sum of positive squares in 4 ways, for example, as 32216976 + 461648196 = 5676^2 + 21486^2 .

It is a super-2 number, since 2×4938651722 = 487805616229179168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493865179) 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 23 ways as a sum of consecutive naturals, for example, 461454 + ... + 462522.

Almost surely, 2493865172 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 493865172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642057780).

493865172 is an abundant number, since it is smaller than the sum of its proper divisors (790250388).

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

493865172 is a wasteful number, since it uses less digits than its factorization.

493865172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1428 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 493865172 is about 22223.0774646537. The cubic root of 493865172 is about 790.4410142416.

The spelling of 493865172 in words is "four hundred ninety-three million, eight hundred sixty-five thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 313 369 492 626 738 939 1069 1252 1476 1878 2138 2817 3207 3756 4276 5634 6414 9621 11268 12828 12833 19242 25666 38484 38499 43829 51332 76998 87658 115497 131487 153996 175316 230994 262974 334597 394461 461988 525948 669194 788922 1003791 1338388 1577844 2007582 3011373 4015164 6022746 12045492 13718477 27436954 41155431 54873908 82310862 123466293 164621724 246932586 493865172