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442180806 = 2319291311021
BaseRepresentation
bin11010010110110…
…010010011000110
31010211001010000220
4122112302103012
51401144241211
6111513245210
713646321604
oct3226622306
91124033026
10442180806
11207665a91
12104103806
13707bc962
1442a24874
1528c46806
hex1a5b24c6

442180806 has 64 divisors (see below), whose sum is σ = 971308800. Its totient is φ = 133660800.

The previous prime is 442180759. The next prime is 442180813. The reversal of 442180806 is 608081244.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432576 + ... + 433596.

It is an arithmetic number, because the mean of its divisors is an integer number (15176700).

Almost surely, 2442180806 is an apocalyptic number.

442180806 is an abundant number, since it is smaller than the sum of its proper divisors (529127994).

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

442180806 is a wasteful number, since it uses less digits than its factorization.

442180806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205.

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 442180806 is about 21028.0956341748. The cubic root of 442180806 is about 761.8450129464.

The spelling of 442180806 in words is "four hundred forty-two million, one hundred eighty thousand, eight hundred six".

Divisors: 1 2 3 6 19 29 38 57 58 87 114 131 174 262 393 551 786 1021 1102 1653 2042 2489 3063 3306 3799 4978 6126 7467 7598 11397 14934 19399 22794 29609 38798 58197 59218 72181 88827 116394 133751 144362 177654 216543 267502 401253 433086 562571 802506 1125142 1687713 2541269 3375426 3878779 5082538 7623807 7757558 11636337 15247614 23272674 73696801 147393602 221090403 442180806