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492032940 = 223578913163
BaseRepresentation
bin11101010100111…
…101001110101100
31021021211212022020
4131110331032230
52001430023230
6120453550140
715123132240
oct3524751654
91237755266
10492032940
112328156a3
12118945350
137ac25969
14494c0420
152d2e2810
hex1d53d3ac

492032940 has 96 divisors (see below), whose sum is σ = 1592317440. Its totient is φ = 111192576.

The previous prime is 492032939. The next prime is 492032963. The reversal of 492032940 is 49230294.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30799 + ... + 43961.

It is an arithmetic number, because the mean of its divisors is an integer number (16586640).

Almost surely, 2492032940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492032940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796158720).

492032940 is an abundant number, since it is smaller than the sum of its proper divisors (1100284500).

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

492032940 is a wasteful number, since it uses less digits than its factorization.

492032940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13271 (or 13269 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 492032940 is about 22181.8155253352. The cubic root of 492032940 is about 789.4622949983.

The spelling of 492032940 in words is "four hundred ninety-two million, thirty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 89 105 140 178 210 267 356 420 445 534 623 890 1068 1246 1335 1780 1869 2492 2670 3115 3738 5340 6230 7476 9345 12460 13163 18690 26326 37380 39489 52652 65815 78978 92141 131630 157956 184282 197445 263260 276423 368564 394890 460705 552846 789780 921410 1105692 1171507 1382115 1842820 2343014 2764230 3514521 4686028 5528460 5857535 7029042 8200549 11715070 14058084 16401098 17572605 23430140 24601647 32802196 35145210 41002745 49203294 70290420 82005490 98406588 123008235 164010980 246016470 492032940