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492126272 = 26112113313
BaseRepresentation
bin11101010101010…
…100000001000000
31021022000121022222
4131111110001000
52001441020042
6120455550212
715124001321
oct3525240100
91238017288
10492126272
11232879830
1211898b368
137ac592a1
1449506448
152d3102d2
hex1d554040

492126272 has 56 divisors (see below), whose sum is σ = 1070713632. Its totient is φ = 222566400.

The previous prime is 492126269. The next prime is 492126287. The reversal of 492126272 is 272621294.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146888 + ... + 150200.

Almost surely, 2492126272 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 492126272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535356816).

492126272 is an abundant number, since it is smaller than the sum of its proper divisors (578587360).

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

492126272 is a wasteful number, since it uses less digits than its factorization.

492126272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3547 (or 3537 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 492126272 is about 22183.9192209132. The cubic root of 492126272 is about 789.5122086189.

The spelling of 492126272 in words is "four hundred ninety-two million, one hundred twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 211 352 422 704 844 1688 2321 3313 3376 4642 6626 6752 9284 13252 13504 18568 26504 36443 37136 53008 72886 74272 106016 145772 148544 212032 291544 583088 699043 1166176 1398086 2332352 2796172 5592344 7689473 11184688 15378946 22369376 30757892 44738752 61515784 123031568 246063136 492126272