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4048080 = 2435101167
BaseRepresentation
bin1111011100010011010000
321121122220220
433130103100
52014014310
6222433040
746256661
oct17342320
97548826
104048080
112315423
121432780
13ab971a
14775368
1554e670
hex3dc4d0

4048080 has 80 divisors (see below), whose sum is σ = 12749184. Its totient is φ = 1062400.

The previous prime is 4048061. The next prime is 4048103. The reversal of 4048080 is 808404.

4048080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 4048080.

It is a congruent number.

It is an unprimeable number.

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, 24157 + ... + 24323.

Almost surely, 24048080 is an apocalyptic number.

4048080 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 4048080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374592).

4048080 is an abundant number, since it is smaller than the sum of its proper divisors (8701104).

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

4048080 is a wasteful number, since it uses less digits than its factorization.

4048080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 278 counting only the distinct ones).

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

The square root of 4048080 is about 2011.9840953646. The cubic root of 4048080 is about 159.3735924520.

The spelling of 4048080 in words is "four million, forty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 167 202 240 303 334 404 501 505 606 668 808 835 1002 1010 1212 1336 1515 1616 1670 2004 2020 2424 2505 2672 3030 3340 4008 4040 4848 5010 6060 6680 8016 8080 10020 12120 13360 16867 20040 24240 33734 40080 50601 67468 84335 101202 134936 168670 202404 253005 269872 337340 404808 506010 674680 809616 1012020 1349360 2024040 4048080