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442051320 = 233531118831
BaseRepresentation
bin11010010110010…
…010101011111000
31010210210112102010
4122112102223320
51401131120240
6111510405520
713645242234
oct3226225370
91123715363
10442051320
11207587777
121040608a0
1370775a39
14429cd5c4
1528c1d280
hex1a592af8

442051320 has 64 divisors (see below), whose sum is σ = 1368944640. Its totient is φ = 114076800.

The previous prime is 442051303. The next prime is 442051331. The reversal of 442051320 is 23150244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55696 + ... + 63135.

It is an arithmetic number, because the mean of its divisors is an integer number (21389760).

Almost surely, 2442051320 is an apocalyptic number.

442051320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442051320 is an abundant number, since it is smaller than the sum of its proper divisors (926893320).

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

442051320 is a wasteful number, since it uses less digits than its factorization.

442051320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118876 (or 118872 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 442051320 is about 21025.0165279364. The cubic root of 442051320 is about 761.7706407343.

The spelling of 442051320 in words is "four hundred forty-two million, fifty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 118831 237662 356493 475324 594155 712986 950648 1188310 1425972 1782465 2376620 2851944 3564930 3683761 4753240 7129860 7367522 11051283 14259720 14735044 18418805 22102566 29470088 36837610 44205132 55256415 73675220 88410264 110512830 147350440 221025660 442051320