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442187172 = 223272250673
BaseRepresentation
bin11010010110110…
…011110110100100
31010211001102202200
4122112303312210
51401144442142
6111513334500
713646346300
oct3226636644
91124042680
10442187172
1120766a849
12104107430
13707c281b
1442a26d00
1528c4864c
hex1a5b3da4

442187172 has 54 divisors (see below), whose sum is σ = 1300246038. Its totient is φ = 126338688.

The previous prime is 442187159. The next prime is 442187183. The reversal of 442187172 is 271781244.

It can be written as a sum of positive squares in only one way, i.e., 392990976 + 49196196 = 19824^2 + 7014^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 123573 + ... + 127100.

Almost surely, 2442187172 is an apocalyptic number.

442187172 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

442187172 is an abundant number, since it is smaller than the sum of its proper divisors (858058866).

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

442187172 is a wasteful number, since it uses less digits than its factorization.

442187172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250697 (or 250685 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 442187172 is about 21028.2470025440. The cubic root of 442187172 is about 761.8486689788.

The spelling of 442187172 in words is "four hundred forty-two million, one hundred eighty-seven thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 250673 501346 752019 1002692 1504038 1754711 2256057 3008076 3509422 4512114 5264133 7018844 9024228 10528266 12282977 15792399 21056532 24565954 31584798 36848931 49131908 63169596 73697862 110546793 147395724 221093586 442187172