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442123297 = 71153131827
BaseRepresentation
bin11010010110100…
…100010000100001
31010210221012010221
4122112210100201
51401140421142
6111512123041
713645662130
oct3226442041
91123835127
10442123297
11207626860
12104096481
137079c725
1442a0b917
1528c34767
hex1a5a4421

442123297 has 32 divisors (see below), whose sum is σ = 566590464. Its totient is φ = 335025600.

The previous prime is 442123261. The next prime is 442123307. The reversal of 442123297 is 792321244.

It is not a de Polignac number, because 442123297 - 219 = 441599009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442123207) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 534198 + ... + 535024.

It is an arithmetic number, because the mean of its divisors is an integer number (17705952).

Almost surely, 2442123297 is an apocalyptic number.

It is an amenable number.

442123297 is a deficient number, since it is larger than the sum of its proper divisors (124467167).

442123297 is a wasteful number, since it uses less digits than its factorization.

442123297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029.

The product of its digits is 24192, while the sum is 34.

The square root of 442123297 is about 21026.7281572764. The cubic root of 442123297 is about 761.8119835884.

The spelling of 442123297 in words is "four hundred forty-two million, one hundred twenty-three thousand, two hundred ninety-seven".

Divisors: 1 7 11 53 77 131 371 583 827 917 1441 4081 5789 6943 9097 10087 43831 48601 63679 76373 108337 306817 482141 534611 758359 1191707 3374987 5741861 8341949 40193027 63160471 442123297