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492489405 = 3251719311093
BaseRepresentation
bin11101010110101…
…100101010111101
31021022201001110100
4131112230222331
52002034130110
6120511431313
715130043112
oct3526545275
91238631410
10492489405
11232aa7641
12118b25539
137b055665
144959c909
152d382bc0
hex1d5acabd

492489405 has 96 divisors (see below), whose sum is σ = 983024640. Its totient is φ = 226437120.

The previous prime is 492489383. The next prime is 492489407. The reversal of 492489405 is 504984294.

It is not a de Polignac number, because 492489405 - 25 = 492489373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492489407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 450039 + ... + 451131.

It is an arithmetic number, because the mean of its divisors is an integer number (10239840).

Almost surely, 2492489405 is an apocalyptic number.

492489405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

492489405 is a deficient number, since it is larger than the sum of its proper divisors (490535235).

492489405 is a wasteful number, since it uses less digits than its factorization.

492489405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 492489405 is about 22192.1023114080. The cubic root of 492489405 is about 789.7063508309.

It can be divided in two parts, 49248 and 9405, that added together give a triangular number (58653 = T342).

The spelling of 492489405 in words is "four hundred ninety-two million, four hundred eighty-nine thousand, four hundred five".

Divisors: 1 3 5 9 15 17 19 31 45 51 57 85 93 95 153 155 171 255 279 285 323 465 527 589 765 855 969 1093 1395 1581 1615 1767 2635 2907 2945 3279 4743 4845 5301 5465 7905 8835 9837 10013 14535 16395 18581 20767 23715 26505 30039 33883 49185 50065 55743 62301 90117 92905 101649 103835 150195 167229 169415 186903 278715 304947 311505 353039 450585 508245 576011 643777 836145 934515 1059117 1524735 1728033 1765195 1931331 2880055 3177351 3218885 5184099 5295585 5793993 8640165 9656655 10944209 15886755 25920495 28969965 32832627 54721045 98497881 164163135 492489405