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4172004 = 2232172401
BaseRepresentation
bin1111111010100011100100
321211221220200
433322203210
52032001004
6225230500
750314164
oct17724344
97757820
104172004
11239a541
121492430
13b30c55
147a85a4
15576239
hex3fa8e4

4172004 has 54 divisors (see below), whose sum is σ = 11230674. Its totient is φ = 1305600.

The previous prime is 4171991. The next prime is 4172029. The reversal of 4172004 is 4002714.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3069504 + 1102500 = 1752^2 + 1050^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10204 + ... + 10604.

Almost surely, 24172004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4172004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5615337).

4172004 is an abundant number, since it is smaller than the sum of its proper divisors (7058670).

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

4172004 is a wasteful number, since it uses less digits than its factorization.

4172004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 4172004 is about 2042.5484082391. The cubic root of 4172004 is about 160.9835766332.

Adding to 4172004 its reverse (4002714), we get a palindrome (8174718).

The spelling of 4172004 in words is "four million, one hundred seventy-two thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 401 578 612 802 867 1156 1203 1604 1734 2406 2601 3468 3609 4812 5202 6817 7218 10404 13634 14436 20451 27268 40902 61353 81804 115889 122706 231778 245412 347667 463556 695334 1043001 1390668 2086002 4172004