Search a number
-
+
493379601 = 3111323311613
BaseRepresentation
bin11101011010000…
…110000000010001
31021101101021120120
4131122012000101
52002301121401
6120542500453
715140441331
oct3532060021
91241337516
10493379601
11233555440
12119294729
137b2a78c0
14497510c1
152d4ab836
hex1d686011

493379601 has 64 divisors (see below), whose sum is σ = 832978944. Its totient is φ = 255340800.

The previous prime is 493379591. The next prime is 493379611. The reversal of 493379601 is 106973394.

It is an interprime number because it is at equal distance from previous prime (493379591) and next prime (493379611).

It is not a de Polignac number, because 493379601 - 222 = 489185297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (493379611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 305071 + ... + 306683.

It is an arithmetic number, because the mean of its divisors is an integer number (13015296).

Almost surely, 2493379601 is an apocalyptic number.

It is an amenable number.

493379601 is a deficient number, since it is larger than the sum of its proper divisors (339599343).

493379601 is a wasteful number, since it uses less digits than its factorization.

493379601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694.

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 493379601 is about 22212.1498509262. The cubic root of 493379601 is about 790.1818739512.

The spelling of 493379601 in words is "four hundred ninety-three million, three hundred seventy-nine thousand, six hundred one".

Divisors: 1 3 11 13 23 31 33 39 69 93 143 253 299 341 403 429 713 759 897 1023 1209 1613 2139 3289 4433 4839 7843 9269 9867 13299 17743 20969 23529 27807 37099 50003 53229 62907 101959 111297 150009 230659 305877 408089 482287 550033 650039 691977 1150069 1224267 1446861 1650099 1950117 3450207 5305157 7150429 12650759 14950897 15915471 21451287 37952277 44852691 164459867 493379601