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492294852 = 2232723157541
BaseRepresentation
bin11101010101111…
…101001011000100
31021022100011120200
4131111331023010
52002011413402
6120503330500
715125302650
oct3525751304
91238304520
10492294852
11232984455
12118a50a30
137acb7c3a
144954ba60
152d34521c
hex1d57d2c4

492294852 has 144 divisors (see below), whose sum is σ = 1496232192. Its totient is φ = 133436160.

The previous prime is 492294839. The next prime is 492294853. The reversal of 492294852 is 258492294.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 492294798 and 492294807.

It is not an unprimeable number, because it can be changed into a prime (492294853) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 909702 + ... + 910242.

Almost surely, 2492294852 is an apocalyptic number.

492294852 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492294852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748116096).

492294852 is an abundant number, since it is smaller than the sum of its proper divisors (1003937340).

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

492294852 is a wasteful number, since it uses less digits than its factorization.

492294852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 733 counting only the distinct ones).

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

The square root of 492294852 is about 22187.7184946988. The cubic root of 492294852 is about 789.6023486101.

The spelling of 492294852 in words is "four hundred ninety-two million, two hundred ninety-four thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 157 161 207 252 276 314 322 414 471 483 541 628 644 828 942 966 1082 1099 1413 1449 1623 1884 1932 2164 2198 2826 2898 3246 3297 3611 3787 4396 4869 5652 5796 6492 6594 7222 7574 9738 9891 10833 11361 12443 13188 14444 15148 19476 19782 21666 22722 24886 25277 32499 34083 37329 39564 43332 45444 49772 50554 64998 68166 74658 75831 84937 87101 101108 111987 129996 136332 149316 151662 169874 174202 223974 227493 254811 261303 303324 339748 348404 447948 454986 509622 522606 594559 764433 783909 909972 1019244 1045212 1189118 1528866 1567818 1783677 1953551 2378236 3057732 3135636 3567354 3907102 5351031 5860653 7134708 7814204 10702062 11721306 13674857 17581959 21404124 23442612 27349714 35163918 41024571 54699428 70327836 82049142 123073713 164098284 246147426 492294852