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504995440 = 24543146801
BaseRepresentation
bin11110000110011…
…001111001110000
31022012020102111211
4132012121321300
52013234323230
6122035445504
715341250625
oct3606317160
91265212454
10504995440
1123a069604
12121156894
1380813a91
144b0d634c
152e50342a
hex1e199e70

504995440 has 40 divisors (see below), whose sum is σ = 1201427568. Its totient is φ = 197299200.

The previous prime is 504995423. The next prime is 504995453. The reversal of 504995440 is 44599405.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 504995393 and 504995402.

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, 69961 + ... + 76840.

Almost surely, 2504995440 is an apocalyptic number.

It is an amenable number.

504995440 is an abundant number, since it is smaller than the sum of its proper divisors (696432128).

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

504995440 is a wasteful number, since it uses less digits than its factorization.

504995440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146857 (or 146851 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 504995440 is about 22472.1035953468. The cubic root of 504995440 is about 796.3350272749.

It can be divided in two parts, 5049 and 95440, that added together give a square (100489 = 3172).

The spelling of 504995440 in words is "five hundred four million, nine hundred ninety-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3440 146801 293602 587204 734005 1174408 1468010 2348816 2936020 5872040 6312443 11744080 12624886 25249772 31562215 50499544 63124430 100999088 126248860 252497720 504995440