Search a number
-
+
492554560 = 2652953077
BaseRepresentation
bin11101010110111…
…100100101000000
31021022211100211111
4131112330211000
52002043221220
6120513053104
715130434061
oct3526744500
91238740744
10492554560
11233041593
12118b57194
137b079204
14495b8568
152d39715a
hex1d5bc940

492554560 has 56 divisors (see below), whose sum is σ = 1213363080. Its totient is φ = 190224384.

The previous prime is 492554539. The next prime is 492554563. The reversal of 492554560 is 65455294.

It can be written as a sum of positive squares in 4 ways, for example, as 69696 + 492484864 = 264^2 + 22192^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492554563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17259 + ... + 35818.

Almost surely, 2492554560 is an apocalyptic number.

492554560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

492554560 is an abundant number, since it is smaller than the sum of its proper divisors (720808520).

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

492554560 is a wasteful number, since it uses less digits than its factorization.

492554560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53123 (or 53113 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The square root of 492554560 is about 22193.5702400493. The cubic root of 492554560 is about 789.7411746246.

The spelling of 492554560 in words is "four hundred ninety-two million, five hundred fifty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1856 2320 4640 9280 53077 106154 212308 265385 424616 530770 849232 1061540 1539233 1698464 2123080 3078466 3396928 4246160 6156932 7696165 8492320 12313864 15392330 16984640 24627728 30784660 49255456 61569320 98510912 123138640 246277280 492554560