Search a number
-
+
493215457849 = 2926123972
BaseRepresentation
bin1110010110101011110…
…11101010001000111001
31202011002000220021001121
413023111323222020321
531040101124122344
61014325142545241
750430224135152
oct7132573521071
91664060807047
10493215457849
111801982a4574
127b708a38221
1337682681caa
1419c2c150929
15cc6a1c8684
hex72d5eea239

493215457849 has 27 divisors (see below), whose sum is σ = 520631958951. Its totient is φ = 467221487040.

The previous prime is 493215457831. The next prime is 493215457853. The reversal of 493215457849 is 948754512394.

The square root of 493215457849 is 702293.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 425580093225 + 67635364624 = 652365^2 + 260068^2 .

It is not a de Polignac number, because 493215457849 - 227 = 493081240121 is a prime.

It is a super-2 number, since 2×4932154578492 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (493215457879) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1242356119 + ... + 1242356515.

Almost surely, 2493215457849 is an apocalyptic number.

493215457849 is the 702293-rd square number.

493215457849 is the 351147-th centered octagonal number.

It is an amenable number.

493215457849 is a deficient number, since it is larger than the sum of its proper divisors (27416501102).

493215457849 is an frugal number, since it uses more digits than its factorization.

493215457849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 487 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 61.

The spelling of 493215457849 in words is "four hundred ninety-three billion, two hundred fifteen million, four hundred fifty-seven thousand, eight hundred forty-nine".

Divisors: 1 29 61 397 841 1769 3721 11513 24217 51301 107909 157609 333877 702293 1477237 3129361 4570661 9614149 20366497 42839873 132549169 278810321 586463089 1242356317 8085499309 17007429581 493215457849