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492938190 = 233514912253
BaseRepresentation
bin11101011000011…
…010001111001110
31021100112212002000
4131120122033032
52002143010230
6120525213130
715133622403
oct3530321716
91240485060
10492938190
11233283838
121191011a6
137b181a04
14496782aa
152d420b60
hex1d61a3ce

492938190 has 64 divisors (see below), whose sum is σ = 1323432000. Its totient is φ = 130557312.

The previous prime is 492938183. The next prime is 492938191. The reversal of 492938190 is 91839294.

It is a super-2 number, since 2×4929381902 = 485976118320952200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492938191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34104 + ... + 46356.

It is an arithmetic number, because the mean of its divisors is an integer number (20678625).

Almost surely, 2492938190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492938190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661716000).

492938190 is an abundant number, since it is smaller than the sum of its proper divisors (830493810).

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

492938190 is a wasteful number, since it uses less digits than its factorization.

492938190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12418 (or 12412 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 492938190 is about 22202.2113763472. The cubic root of 492938190 is about 789.9461534628.

The spelling of 492938190 in words is "four hundred ninety-two million, nine hundred thirty-eight thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 149 270 298 447 745 894 1341 1490 2235 2682 4023 4470 6705 8046 12253 13410 20115 24506 36759 40230 61265 73518 110277 122530 183795 220554 330831 367590 551385 661662 1102770 1654155 1825697 3308310 3651394 5477091 9128485 10954182 16431273 18256970 27385455 32862546 49293819 54770910 82156365 98587638 164312730 246469095 492938190