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8104480 = 255373
BaseRepresentation
bin11110111010101000100000
3120020202020221
4132322220200
54033320410
6445412424
7125613136
oct36725040
916222227
108104480
11463601a
12286a114
1318a9b67
14110d756
15aa14da
hex7baa20

8104480 has 48 divisors (see below), whose sum is σ = 19678680. Its totient is φ = 3154176.

The previous prime is 8104463. The next prime is 8104483. The reversal of 8104480 is 844018.

It can be written as a sum of positive squares in 4 ways, for example, as 7862416 + 242064 = 2804^2 + 492^2 .

It is not an unprimeable number, because it can be changed into a prime (8104483) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 219022 + ... + 219058.

Almost surely, 28104480 is an apocalyptic number.

8104480 is a gapful number since it is divisible by the number (80) 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 8104480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9839340).

8104480 is an abundant number, since it is smaller than the sum of its proper divisors (11574200).

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

8104480 is an frugal number, since it uses more digits than its factorization.

8104480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 44 counting only the distinct ones).

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

The square root of 8104480 is about 2846.8368411274. The cubic root of 8104480 is about 200.8669036280.

Adding to 8104480 its reverse (844018), we get a palindrome (8948498).

The spelling of 8104480 in words is "eight million, one hundred four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1369 1480 2738 2960 5476 5920 6845 10952 13690 21904 27380 43808 50653 54760 101306 109520 202612 219040 253265 405224 506530 810448 1013060 1620896 2026120 4052240 8104480