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492307344 = 2432434
BaseRepresentation
bin11101010110000…
…000001110010000
31021022100210201100
4131112000032100
52002012313334
6120503504400
715125354244
oct3526001620
91238323640
10492307344
11232992881
12118a58100
137acc0829
1449552424
152d348c99
hex1d580390

492307344 has 75 divisors (see below), whose sum is σ = 1410581003. Its totient is φ = 160286112.

The previous prime is 492307313. The next prime is 492307351. The reversal of 492307344 is 443703294.

The square root of 492307344 is 22188.

It is a perfect power (a square), and thus also a powerful number.

492307344 is a `hidden beast` number, since 4 + 9 + 2 + 307 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 492307299 and 492307308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11448987 + ... + 11449029.

Almost surely, 2492307344 is an apocalyptic number.

492307344 is the 22188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492307344

492307344 is an abundant number, since it is smaller than the sum of its proper divisors (918273659).

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

492307344 is an frugal number, since it uses more digits than its factorization.

492307344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The cubic root of 492307344 is about 789.6090272832.

Multiplying 492307344 by its sum of digits (36), we get a square (17723064384 = 1331282).

492307344 divided by its sum of digits (36) gives a square (13675204 = 36982).

The spelling of 492307344 in words is "four hundred ninety-two million, three hundred seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 1849 2064 3096 3698 5547 6192 7396 11094 14792 16641 22188 29584 33282 44376 66564 79507 88752 133128 159014 238521 266256 318028 477042 636056 715563 954084 1272112 1431126 1908168 2862252 3418801 3816336 5724504 6837602 10256403 11449008 13675204 20512806 27350408 30769209 41025612 54700816 61538418 82051224 123076836 164102448 246153672 492307344