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442405080 = 233251394531
BaseRepresentation
bin11010010111101…
…001000011011000
31010211110111200100
4122113221003120
51401223430310
6111522135400
713651244505
oct3227510330
91124414610
10442405080
112077a9537
121041b1560
137086aa70
1442a824ac
1528c8cec0
hex1a5e90d8

442405080 has 96 divisors (see below), whose sum is σ = 1548434160. Its totient is φ = 108898560.

The previous prime is 442405079. The next prime is 442405091. The reversal of 442405080 is 80504244.

It is a congruent number.

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, 42586 + ... + 51945.

Almost surely, 2442405080 is an apocalyptic number.

442405080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442405080 is an abundant number, since it is smaller than the sum of its proper divisors (1106029080).

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

442405080 is a wasteful number, since it uses less digits than its factorization.

442405080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94561 (or 94554 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 442405080 is about 21033.4276807181. The cubic root of 442405080 is about 761.9737937130.

The spelling of 442405080 in words is "four hundred forty-two million, four hundred five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 94531 189062 283593 378124 472655 567186 756248 850779 945310 1134372 1228903 1417965 1701558 1890620 2268744 2457806 2835930 3403116 3686709 3781240 4253895 4915612 5671860 6144515 6806232 7373418 8507790 9831224 11060127 11343720 12289030 14746836 17015580 18433545 22120254 24578060 29493672 34031160 36867090 44240508 49156120 55300635 73734180 88481016 110601270 147468360 221202540 442405080