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499545468 = 223410314969
BaseRepresentation
bin11101110001100…
…111010101111100
31021210222112120000
4131301213111330
52010340423333
6121322554300
715244031532
oct3561472574
91253875500
10499545468
11236a869a4
1211b368990
137c656246
144a4b8152
152dcc8713
hex1dc6757c

499545468 has 60 divisors (see below), whose sum is σ = 1318677360. Its totient is φ = 164887488.

The previous prime is 499545467. The next prime is 499545481. The reversal of 499545468 is 864545994.

499545468 is a `hidden beast` number, since 4 + 9 + 95 + 4 + 546 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (499545461) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25888 + ... + 40856.

It is an arithmetic number, because the mean of its divisors is an integer number (21977956).

Almost surely, 2499545468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 499545468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659338680).

499545468 is an abundant number, since it is smaller than the sum of its proper divisors (819131892).

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

499545468 is a wasteful number, since it uses less digits than its factorization.

499545468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15088 (or 15077 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 499545468 is about 22350.5138195971. The cubic root of 499545468 is about 793.4599448765.

The spelling of 499545468 in words is "four hundred ninety-nine million, five hundred forty-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 103 108 162 206 309 324 412 618 927 1236 1854 2781 3708 5562 8343 11124 14969 16686 29938 33372 44907 59876 89814 134721 179628 269442 404163 538884 808326 1212489 1541807 1616652 2424978 3083614 4625421 4849956 6167228 9250842 13876263 18501684 27752526 41628789 55505052 83257578 124886367 166515156 249772734 499545468