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492100272 = 2435235503
BaseRepresentation
bin11101010101001…
…101101010110000
31021021222021200000
4131111031222300
52001434202042
6120455230000
715123532446
oct3525155260
91237867600
10492100272
11232861244
12118978300
137ac4a4c1
14494dab96
152d30774c
hex1d54dab0

492100272 has 120 divisors (see below), whose sum is σ = 1490571264. Its totient is φ = 156873024.

The previous prime is 492100223. The next prime is 492100291. The reversal of 492100272 is 272001294.

492100272 is a `hidden beast` number, since 492 + 100 + 2 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86673 + ... + 92175.

Almost surely, 2492100272 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 492100272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745285632).

492100272 is an abundant number, since it is smaller than the sum of its proper divisors (998470992).

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

492100272 is a wasteful number, since it uses less digits than its factorization.

492100272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5549 (or 5531 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 492100272 is about 22183.3332031054. Note that the first 3 decimals coincide. The cubic root of 492100272 is about 789.4983045459.

The spelling of 492100272 in words is "four hundred ninety-two million, one hundred thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 243 276 324 368 414 432 486 552 621 648 828 972 1104 1242 1296 1656 1863 1944 2484 3312 3726 3888 4968 5503 5589 7452 9936 11006 11178 14904 16509 22012 22356 29808 33018 44024 44712 49527 66036 88048 89424 99054 126569 132072 148581 198108 253138 264144 297162 379707 396216 445743 506276 594324 759414 792432 891486 1012552 1139121 1188648 1337229 1518828 1782972 2025104 2278242 2377296 2674458 3037656 3417363 3565944 4556484 5348916 6075312 6834726 7131888 9112968 10252089 10697832 13669452 18225936 20504178 21395664 27338904 30756267 41008356 54677808 61512534 82016712 123025068 164033424 246050136 492100272