Search a number
-
+
8041904 = 241323412
BaseRepresentation
bin11110101011010110110000
3120010120102022
4132223112300
54024320104
6444211012
7125232533
oct36532660
916116368
108041904
1145a3002
122839a68
131887530
1410d4a1a
15a8cbbe
hex7ab5b0

8041904 has 60 divisors (see below), whose sum is σ = 17946768. Its totient is φ = 3463680.

The previous prime is 8041897. The next prime is 8041907. The reversal of 8041904 is 4091408.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8041907) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 196124 + ... + 196164.

Almost surely, 28041904 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 8041904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8973384).

8041904 is an abundant number, since it is smaller than the sum of its proper divisors (9904864).

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

8041904 is a wasteful number, since it uses less digits than its factorization.

8041904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 8041904 is about 2835.8251003897. The cubic root of 8041904 is about 200.3485920649.

The spelling of 8041904 in words is "eight million, forty-one thousand, nine hundred four".

Divisors: 1 2 4 8 13 16 23 26 41 46 52 82 92 104 164 184 208 299 328 368 533 598 656 943 1066 1196 1681 1886 2132 2392 3362 3772 4264 4784 6724 7544 8528 12259 13448 15088 21853 24518 26896 38663 43706 49036 77326 87412 98072 154652 174824 196144 309304 349648 502619 618608 1005238 2010476 4020952 8041904