Search a number
-
+
492425088 = 2734131277
BaseRepresentation
bin11101010110011…
…100111110000000
31021022120210020020
4131112130332000
52002030100323
6120510213440
715126354441
oct3526347600
91238523206
10492425088
11232a63291
12118ab4280
137b0322bc
14495832c8
152d36dae3
hex1d59cf80

492425088 has 64 divisors (see below), whose sum is σ = 1339949520. Its totient is φ = 160133120.

The previous prime is 492425083. The next prime is 492425117. The reversal of 492425088 is 880524294.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492425081) 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, 106 + ... + 31382.

Almost surely, 2492425088 is an apocalyptic number.

492425088 is a gapful number since it is divisible by the number (48) 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 492425088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669974760).

492425088 is an abundant number, since it is smaller than the sum of its proper divisors (847524432).

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

492425088 is a wasteful number, since it uses less digits than its factorization.

492425088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31335 (or 31323 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 492425088 is about 22190.6531674937. The cubic root of 492425088 is about 789.6719719156.

The spelling of 492425088 in words is "four hundred ninety-two million, four hundred twenty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1312 1968 2624 3936 5248 7872 15744 31277 62554 93831 125108 187662 250216 375324 500432 750648 1000864 1282357 1501296 2001728 2564714 3002592 3847071 4003456 5129428 6005184 7694142 10258856 12010368 15388284 20517712 30776568 41035424 61553136 82070848 123106272 164141696 246212544 492425088