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804000480 = 25351675001
BaseRepresentation
bin101111111011000…
…001001011100000
32002000212110022120
4233323001023200
53121311003410
6211440304240
725631614503
oct5773011340
92060773276
10804000480
11382923508
121a5312080
13ca753a3a
1478acb13a
154a8b7570
hex2fec12e0

804000480 has 48 divisors (see below), whose sum is σ = 2532603024. Its totient is φ = 214400000.

The previous prime is 804000467. The next prime is 804000481. The reversal of 804000480 is 84000408.

804000480 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 (48).

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 804000480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804000481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 837021 + ... + 837980.

It is an arithmetic number, because the mean of its divisors is an integer number (52762563).

Almost surely, 2804000480 is an apocalyptic number.

804000480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

804000480 is an abundant number, since it is smaller than the sum of its proper divisors (1728602544).

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

804000480 is a wasteful number, since it uses less digits than its factorization.

804000480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675019 (or 1675011 counting only the distinct ones).

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

The square root of 804000480 is about 28354.9022216618. The cubic root of 804000480 is about 929.8625765263.

Adding to 804000480 its reverse (84000408), we get a palindrome (888000888).

The spelling of 804000480 in words is "eight hundred four million, four hundred eighty", and thus it is an aban number.

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 1675001 3350002 5025003 6700004 8375005 10050006 13400008 16750010 20100012 25125015 26800016 33500020 40200024 50250030 53600032 67000040 80400048 100500060 134000080 160800096 201000120 268000160 402000240 804000480