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8418004 = 2272291481
BaseRepresentation
bin100000000111…
…001011010100
3120211200022221
4200013023110
54123334004
6500232124
7131360200
oct40071324
916750287
108418004
11482a631
12299b644
13198978a
141191b00
15b14354
hex8072d4

8418004 has 36 divisors (see below), whose sum is σ = 17739540. Its totient is φ = 3480960.

The previous prime is 8418001. The next prime is 8418013. The reversal of 8418004 is 4008148.

It can be written as a sum of positive squares in 2 ways, for example, as 4008004 + 4410000 = 2002^2 + 2100^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8418004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8418001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4944 + ... + 6424.

It is an arithmetic number, because the mean of its divisors is an integer number (492765).

Almost surely, 28418004 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 8418004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8869770).

8418004 is an abundant number, since it is smaller than the sum of its proper divisors (9321536).

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

8418004 is a wasteful number, since it uses less digits than its factorization.

8418004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 8418004 is about 2901.3796718113. The cubic root of 8418004 is about 203.4243994724.

The spelling of 8418004 in words is "eight million, four hundred eighteen thousand, four".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 812 1421 1481 2842 2962 5684 5924 10367 20734 41468 42949 72569 85898 145138 171796 290276 300643 601286 1202572 2104501 4209002 8418004