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1849172004 = 223423892
BaseRepresentation
bin110111000111000…
…0010000000100100
311202212112200010000
41232032002000210
512241342001004
6503254101300
763552463011
oct15616020044
94685480100
101849172004
1186989a329
1243734a830
13236148624
14137836708
15ac51cc39
hex6e382024

1849172004 has 45 divisors (see below), whose sum is σ = 4836125217. Its totient is φ = 616132656.

The previous prime is 1849171981. The next prime is 1849172053. The reversal of 1849172004 is 4002719481.

The square root of 1849172004 is 43002.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 420332004 + 1428840000 = 20502^2 + 37800^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1849172004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 772842 + ... + 775230.

Almost surely, 21849172004 is an apocalyptic number.

1849172004 is the 43002-nd square number.

It is an amenable number.

1849172004 is an abundant number, since it is smaller than the sum of its proper divisors (2986953213).

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

1849172004 is an frugal number, since it uses more digits than its factorization.

1849172004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4794 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The cubic root of 1849172004 is about 1227.4178549454.

Multiplying 1849172004 by its sum of digits (36), we get a square (66570192144 = 2580122).

1849172004 divided by its sum of digits (36) gives a square (51365889 = 71672).

The spelling of 1849172004 in words is "one billion, eight hundred forty-nine million, one hundred seventy-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 2389 4778 7167 9556 14334 21501 28668 43002 64503 86004 129006 193509 258012 387018 774036 5707321 11414642 17121963 22829284 34243926 51365889 68487852 102731778 154097667 205463556 308195334 462293001 616390668 924586002 1849172004