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442889062830 = 232523687131139
BaseRepresentation
bin1100111000111100011…
…11101100100110101110
31120100011200220111122100
412130132033230212232
524224014100002310
6535243241355530
743666126630344
oct6343617544656
91510150814570
10442889062830
1116091236a075
1271a02798ba6
13329c2102326
1417616339994
15b7c1d5dec0
hex671e3ec9ae

442889062830 has 96 divisors (see below), whose sum is σ = 1201790753280. Its totient is φ = 112948735680.

The previous prime is 442889062813. The next prime is 442889062831. The reversal of 442889062830 is 38260988244.

442889062830 is a `hidden beast` number, since 4 + 4 + 2 + 8 + 8 + 9 + 0 + 628 + 3 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442889062831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14207401 + ... + 14238539.

It is an arithmetic number, because the mean of its divisors is an integer number (12518653680).

Almost surely, 2442889062830 is an apocalyptic number.

442889062830 is an abundant number, since it is smaller than the sum of its proper divisors (758901690450).

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

442889062830 is a wasteful number, since it uses less digits than its factorization.

442889062830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38046 (or 38043 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 442889062830 in words is "four hundred forty-two billion, eight hundred eighty-nine million, sixty-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 6871 13742 20613 31139 34355 41226 61839 62278 68710 93417 103065 123678 155695 158033 186834 206130 280251 309195 311390 316066 467085 474099 560502 618390 716197 790165 934170 948198 1401255 1422297 1432394 1580330 2148591 2370495 2802510 2844594 3580985 4297182 4740990 6445773 7111485 7161970 10742955 12891546 14222970 21485910 32228865 64457730 213956069 427912138 641868207 1069780345 1283736414 1925604621 2139560690 3209341035 3851209242 4920989587 6418682070 9628023105 9841979174 14762968761 19256046210 24604947935 29525937522 44288906283 49209895870 73814843805 88577812566 147629687610 221444531415 442889062830