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442051051 = 131743181257
BaseRepresentation
bin11010010110010…
…010100111101011
31010210210112001011
4122112102213223
51401131113201
6111510404351
713645241401
oct3226224753
91123715034
10442051051
11207587552
121040606b7
1370775890
14429cd471
1528c1d151
hex1a5929eb

442051051 has 32 divisors (see below), whose sum is σ = 520648128. Its totient is φ = 371589120.

The previous prime is 442051039. The next prime is 442051081. The reversal of 442051051 is 150150244.

It is a 17-Lehmer number, since φ(442051051) divides (442051051-1)17.

It is a cyclic number.

It is not a de Polignac number, because 442051051 - 27 = 442050923 is a prime.

442051051 is a modest number, since divided by 51051 gives 442 as remainder.

It is not an unprimeable number, because it can be changed into a prime (442051081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1719915 + ... + 1720171.

It is an arithmetic number, because the mean of its divisors is an integer number (16270254).

Almost surely, 2442051051 is an apocalyptic number.

442051051 is a deficient number, since it is larger than the sum of its proper divisors (78597077).

442051051 is a wasteful number, since it uses less digits than its factorization.

442051051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511.

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 442051051 is about 21025.0101307942. The cubic root of 442051051 is about 761.7704862150.

The spelling of 442051051 in words is "four hundred forty-two million, fifty-one thousand, fifty-one".

Divisors: 1 13 17 43 181 221 257 559 731 2353 3077 3341 4369 7783 9503 11051 40001 46517 56797 101179 132311 143663 187867 604721 790789 1720043 2000231 2442271 10280257 26003003 34003927 442051051