Search a number
-
+
493954944 = 2737183763
BaseRepresentation
bin11101011100010…
…010011110000000
31021102110111210120
4131130102132000
52002423024234
6121003100240
715145355610
oct3534223600
91242414716
10493954944
1123390872a
12119511680
137b449742
1449860a40
152d572049
hex1d712780

493954944 has 64 divisors (see below), whose sum is σ = 1499514240. Its totient is φ = 141129216.

The previous prime is 493954939. The next prime is 493954949. The reversal of 493954944 is 449459394.

It is an interprime number because it is at equal distance from previous prime (493954939) and next prime (493954949).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493954949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89194 + ... + 94569.

It is an arithmetic number, because the mean of its divisors is an integer number (23429910).

Almost surely, 2493954944 is an apocalyptic number.

It is an amenable number.

493954944 is an abundant number, since it is smaller than the sum of its proper divisors (1005559296).

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

493954944 is a wasteful number, since it uses less digits than its factorization.

493954944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183787 (or 183775 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 51.

The square root of 493954944 is about 22225.0971651419. The cubic root of 493954944 is about 790.4889052961.

The spelling of 493954944 in words is "four hundred ninety-three million, nine hundred fifty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 183763 367526 551289 735052 1102578 1286341 1470104 2205156 2572682 2940208 3859023 4410312 5145364 5880416 7718046 8820624 10290728 11760832 15436092 17641248 20581456 23521664 30872184 35282496 41162912 61744368 70564992 82325824 123488736 164651648 246977472 493954944