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42173000 = 2353181233
BaseRepresentation
bin1010000011100…
…0001001001000
32221100121110222
42200320021020
541244014000
64103525212
71021315232
oct240701110
987317428
1042173000
1121895221
1212159808
13897794c
14585b252
153a80a85
hex2838248

42173000 has 64 divisors (see below), whose sum is σ = 99655920. Its totient is φ = 16704000.

The previous prime is 42172997. The next prime is 42173057. The reversal of 42173000 is 37124.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4153444 + 38019556 = 2038^2 + 6166^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42173000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180884 + ... + 181116.

Almost surely, 242173000 is an apocalyptic number.

42173000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42173000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49827960).

42173000 is an abundant number, since it is smaller than the sum of its proper divisors (57482920).

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

42173000 is a wasteful number, since it uses less digits than its factorization.

42173000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 42173000 is about 6494.0742219349. The cubic root of 42173000 is about 348.0792746689.

The spelling of 42173000 in words is "forty-two million, one hundred seventy-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 181 200 233 250 362 466 500 724 905 932 1000 1165 1448 1810 1864 2330 3620 4525 4660 5825 7240 9050 9320 11650 18100 22625 23300 29125 36200 42173 45250 46600 58250 84346 90500 116500 168692 181000 210865 233000 337384 421730 843460 1054325 1686920 2108650 4217300 5271625 8434600 10543250 21086500 42173000