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504441420 = 223573793169
BaseRepresentation
bin11110000100010…
…010101001001100
31022011012021112120
4132010102221030
52013114111140
6122015532540
715333452460
oct3604225114
91264167476
10504441420
1123982033a
12120b2a150
138067b862
144add04a0
152e4441d0
hex1e112a4c

504441420 has 96 divisors (see below), whose sum is σ = 1618982400. Its totient is φ = 114960384.

The previous prime is 504441407. The next prime is 504441463. The reversal of 504441420 is 24144405.

It is a happy number.

It is a super-2 number, since 2×5044414202 = 508922292423232800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157596 + ... + 160764.

It is an arithmetic number, because the mean of its divisors is an integer number (16864400).

Almost surely, 2504441420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504441420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809491200).

504441420 is an abundant number, since it is smaller than the sum of its proper divisors (1114540980).

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

504441420 is a wasteful number, since it uses less digits than its factorization.

504441420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3567 (or 3565 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 504441420 is about 22459.7733737453. The cubic root of 504441420 is about 796.0437065132.

Adding to 504441420 its reverse (24144405), we get a palindrome (528585825).

It can be divided in two parts, 5044 and 41420, that added together give a palindrome (46464).

The spelling of 504441420 in words is "five hundred four million, four hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 379 420 758 1137 1516 1895 2274 2653 3169 3790 4548 5306 5685 6338 7580 7959 9507 10612 11370 12676 13265 15845 15918 19014 22183 22740 26530 31690 31836 38028 39795 44366 47535 53060 63380 66549 79590 88732 95070 110915 133098 159180 190140 221830 266196 332745 443660 665490 1201051 1330980 2402102 3603153 4804204 6005255 7206306 8407357 12010510 14412612 16814714 18015765 24021020 25222071 33629428 36031530 42036785 50444142 72063060 84073570 100888284 126110355 168147140 252220710 504441420