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4804080 = 243537541
BaseRepresentation
bin10010010100110111110000
3100001001221220
4102110313300
52212212310
6250545040
755556031
oct22246760
910031856
104804080
112791416
121738180
13cc2868
148d0a88
1564d670
hex494df0

4804080 has 80 divisors (see below), whose sum is σ = 15323424. Its totient is φ = 1244160.

The previous prime is 4804061. The next prime is 4804087. The reversal of 4804080 is 804084.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4804080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4804087) 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 15 ways as a sum of consecutive naturals, for example, 8610 + ... + 9150.

Almost surely, 24804080 is an apocalyptic number.

4804080 is a gapful number since it is divisible by the number (40) 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 4804080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7661712).

4804080 is an abundant number, since it is smaller than the sum of its proper divisors (10519344).

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

4804080 is a wasteful number, since it uses less digits than its factorization.

4804080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 588 counting only the distinct ones).

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

The square root of 4804080 is about 2191.8211605877. The cubic root of 4804080 is about 168.7343140427.

It can be divided in two parts, 480 and 4080, that added together give a triangular number (4560 = T95).

The spelling of 4804080 in words is "four million, eight hundred four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 541 555 592 740 888 1082 1110 1480 1623 1776 2164 2220 2705 2960 3246 4328 4440 5410 6492 8115 8656 8880 10820 12984 16230 20017 21640 25968 32460 40034 43280 60051 64920 80068 100085 120102 129840 160136 200170 240204 300255 320272 400340 480408 600510 800680 960816 1201020 1601360 2402040 4804080