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4080804 = 22371337101
BaseRepresentation
bin1111100100010010100100
321200022210220
433210102210
52021041204
6223244340
746454250
oct17442244
97608726
104080804
112337a72
1214496b0
13acb5a0
14783260
155591d9
hex3e44a4

4080804 has 96 divisors (see below), whose sum is σ = 12155136. Its totient is φ = 1036800.

The previous prime is 4080803. The next prime is 4080827.

4080804 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40808042 = 33305922572832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4080803) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40354 + ... + 40454.

It is an arithmetic number, because the mean of its divisors is an integer number (126616).

Almost surely, 24080804 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 4080804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6077568).

4080804 is an abundant number, since it is smaller than the sum of its proper divisors (8074332).

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

4080804 is a wasteful number, since it uses less digits than its factorization.

4080804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 4080804 is about 2020.0999975249. The cubic root of 4080804 is about 159.8018902211.

It can be divided in two parts, 4080 and 804, that added together give a palindrome (4884).

The spelling of 4080804 in words is "four million, eighty thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 37 39 42 52 74 78 84 91 101 111 148 156 182 202 222 259 273 303 364 404 444 481 518 546 606 707 777 962 1036 1092 1212 1313 1414 1443 1554 1924 2121 2626 2828 2886 3108 3367 3737 3939 4242 5252 5772 6734 7474 7878 8484 9191 10101 11211 13468 14948 15756 18382 20202 22422 26159 27573 36764 40404 44844 48581 52318 55146 78477 97162 104636 110292 145743 156954 194324 291486 313908 340067 582972 680134 1020201 1360268 2040402 4080804