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763223420 = 225374312393
BaseRepresentation
bin101101011111011…
…101110101111100
31222012010202201002
4231133131311330
53030341122140
6203422305432
724625202111
oct5537356574
91865122632
10763223420
11361902063
12193728278
13c21775bb
1473514908
1547010415
hex2d7ddd7c

763223420 has 48 divisors (see below), whose sum is σ = 1650595968. Its totient is φ = 296225280.

The previous prime is 763223413. The next prime is 763223453. The reversal of 763223420 is 24322367.

It is a super-3 number, since 3×7632234203 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317744 + ... + 320136.

It is an arithmetic number, because the mean of its divisors is an integer number (34387416).

Almost surely, 2763223420 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 763223420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825297984).

763223420 is an abundant number, since it is smaller than the sum of its proper divisors (887372548).

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

763223420 is a wasteful number, since it uses less digits than its factorization.

763223420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2870 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 29.

The square root of 763223420 is about 27626.4985113930. The cubic root of 763223420 is about 913.8688960573.

Adding to 763223420 its reverse (24322367), we get a palindrome (787545787).

The spelling of 763223420 in words is "seven hundred sixty-three million, two hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 431 740 862 1724 2155 2393 4310 4786 8620 9572 11965 15947 23930 31894 47860 63788 79735 88541 159470 177082 318940 354164 442705 885410 1031383 1770820 2062766 4125532 5156915 10313830 20627660 38161171 76322342 152644684 190805855 381611710 763223420