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4080480 = 25358501
BaseRepresentation
bin1111100100001101100000
321200022100220
433210031200
52021033410
6223243040
746453305
oct17441540
97608326
104080480
1123377a8
121449480
13acb3b1
147830ac
15559070
hex3e4360

4080480 has 48 divisors (see below), whose sum is σ = 12855024. Its totient is φ = 1088000.

The previous prime is 4080469. The next prime is 4080509. The reversal of 4080480 is 840804.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 4080480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3771 + ... + 4730.

It is an arithmetic number, because the mean of its divisors is an integer number (267813).

Almost surely, 24080480 is an apocalyptic number.

4080480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4080480 is an abundant number, since it is smaller than the sum of its proper divisors (8774544).

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

4080480 is a wasteful number, since it uses less digits than its factorization.

4080480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8519 (or 8511 counting only the distinct ones).

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

The square root of 4080480 is about 2020.0198018831. The cubic root of 4080480 is about 159.7976608926.

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

The spelling of 4080480 in words is "four million, eighty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 8501 17002 25503 34004 42505 51006 68008 85010 102012 127515 136016 170020 204024 255030 272032 340040 408048 510060 680080 816096 1020120 1360160 2040240 4080480