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492189440 = 2851722619
BaseRepresentation
bin11101010101100…
…011011100000000
31021022010210222112
4131111203130000
52002000030230
6120501154452
715124353431
oct3525433400
91238123875
10492189440
11232912236
121189bba28
137ac7bc72
1449521488
152d323d95
hex1d563700

492189440 has 72 divisors (see below), whose sum is σ = 1248352560. Its totient is φ = 185286656.

The previous prime is 492189431. The next prime is 492189493. The reversal of 492189440 is 44981294.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10451 + ... + 33069.

It is an arithmetic number, because the mean of its divisors is an integer number (17338230).

Almost surely, 2492189440 is an apocalyptic number.

492189440 is a gapful number since it is divisible by the number (40) 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 492189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624176280).

492189440 is an abundant number, since it is smaller than the sum of its proper divisors (756163120).

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

492189440 is a wasteful number, since it uses less digits than its factorization.

492189440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22657 (or 22643 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 492189440 is about 22185.3429092273. The cubic root of 492189440 is about 789.5459870591.

The spelling of 492189440 in words is "four hundred ninety-two million, one hundred eighty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 544 640 680 1088 1280 1360 2176 2720 4352 5440 10880 21760 22619 45238 90476 113095 180952 226190 361904 384523 452380 723808 769046 904760 1447616 1538092 1809520 1922615 2895232 3076184 3619040 3845230 5790464 6152368 7238080 7690460 12304736 14476160 15380920 24609472 28952320 30761840 49218944 61523680 98437888 123047360 246094720 492189440