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442232406 = 233711106357
BaseRepresentation
bin11010010110111…
…110111001010110
31010211010201211000
4122112332321112
51401202414111
6111514324130
713646625210
oct3226767126
91124121730
10442232406
112076a0830
12104129646
137080a2a5
1442a395b0
1528c56c56
hex1a5bee56

442232406 has 64 divisors (see below), whose sum is σ = 1225244160. Its totient is φ = 114864480.

The previous prime is 442232387. The next prime is 442232411. The reversal of 442232406 is 604232244.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 442232406.

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, 49021 + ... + 57336.

It is an arithmetic number, because the mean of its divisors is an integer number (19144440).

Almost surely, 2442232406 is an apocalyptic number.

442232406 is an abundant number, since it is smaller than the sum of its proper divisors (783011754).

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

442232406 is a wasteful number, since it uses less digits than its factorization.

442232406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106386 (or 106380 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 442232406 is about 21029.3225283175. The cubic root of 442232406 is about 761.8746461290.

The spelling of 442232406 in words is "four hundred forty-two million, two hundred thirty-two thousand, four hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 4158 106357 212714 319071 638142 744499 957213 1169927 1488998 1914426 2233497 2339854 2871639 3509781 4466994 5743278 6700491 7019562 8189489 10529343 13400982 16378978 20101473 21058686 24568467 31588029 40202946 49136934 63176058 73705401 147410802 221116203 442232406