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492495984 = 24331767061
BaseRepresentation
bin11101010110101…
…110010001110000
31021022201101111000
4131112232101300
52002034332414
6120511522000
715130101231
oct3526562160
91238641430
10492495984
11233001582
12118b29300
137b058656
14495a1088
152d384b09
hex1d5ae470

492495984 has 80 divisors (see below), whose sum is σ = 1496823840. Its totient is φ = 154506240.

The previous prime is 492495961. The next prime is 492495989. The reversal of 492495984 is 489594294.

492495984 is a `hidden beast` number, since 4 + 9 + 2 + 49 + 598 + 4 = 666.

It is a super-2 number, since 2×4924959842 = 485104588512256512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 492495984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492495989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26187 + ... + 40874.

It is an arithmetic number, because the mean of its divisors is an integer number (18710298).

Almost surely, 2492495984 is an apocalyptic number.

It is an amenable number.

492495984 is an abundant number, since it is smaller than the sum of its proper divisors (1004327856).

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

492495984 is a wasteful number, since it uses less digits than its factorization.

492495984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67095 (or 67083 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 492495984 is about 22192.2505393212. The cubic root of 492495984 is about 789.7098672889.

The spelling of 492495984 in words is "four hundred ninety-two million, four hundred ninety-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 67061 134122 201183 268244 402366 536488 603549 804732 1072976 1140037 1207098 1609464 1810647 2280074 2414196 3218928 3420111 3621294 4560148 4828392 6840222 7242588 9120296 9656784 10260333 13680444 14485176 18240592 20520666 27360888 28970352 30780999 41041332 54721776 61561998 82082664 123123996 164165328 246247992 492495984