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804124480 = 26517532789
BaseRepresentation
bin101111111011011…
…111011101000000
32002001002202102011
4233323133131000
53121323440410
6211443102304
725632642145
oct5773373500
92061082364
10804124480
113829a8695
121a5371994
13ca798303
1478b203cc
154a8de18a
hex2fedf740

804124480 has 112 divisors (see below), whose sum is σ = 2066452560. Its totient is φ = 296910848.

The previous prime is 804124423. The next prime is 804124483. The reversal of 804124480 is 84421408.

It can be written as a sum of positive squares in 8 ways, for example, as 51609856 + 752514624 = 7184^2 + 27432^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804124483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286926 + ... + 289714.

Almost surely, 2804124480 is an apocalyptic number.

804124480 is a gapful number since it is divisible by the number (80) 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 804124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033226280).

804124480 is an abundant number, since it is smaller than the sum of its proper divisors (1262328080).

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

804124480 is a wasteful number, since it uses less digits than its factorization.

804124480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The square root of 804124480 is about 28357.0887081167. The cubic root of 804124480 is about 929.9103779208.

Adding to 804124480 its reverse (84421408), we get a palindrome (888545888).

The spelling of 804124480 in words is "eight hundred four million, one hundred twenty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 53 64 68 80 85 106 136 160 170 212 265 272 320 340 424 530 544 680 848 901 1060 1088 1360 1696 1802 2120 2720 2789 3392 3604 4240 4505 5440 5578 7208 8480 9010 11156 13945 14416 16960 18020 22312 27890 28832 36040 44624 47413 55780 57664 72080 89248 94826 111560 144160 147817 178496 189652 223120 237065 288320 295634 379304 446240 474130 591268 739085 758608 892480 948260 1182536 1478170 1517216 1896520 2365072 2512889 2956340 3034432 3793040 4730144 5025778 5912680 7586080 9460288 10051556 11825360 12564445 15172160 20103112 23650720 25128890 40206224 47301440 50257780 80412448 100515560 160824896 201031120 402062240 804124480