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538635780 = 223255967757
BaseRepresentation
bin100000000110101…
…110111000000100
31101112112112101100
4200012232320010
52100342321110
6125240500100
716230220464
oct4006567004
91345475340
10538635780
11257056041
1213047a630
13877919c7
1451771ba4
153244abc0
hex201aee04

538635780 has 144 divisors (see below), whose sum is σ = 1688581440. Its totient is φ = 138910464.

The previous prime is 538635707. The next prime is 538635791. The reversal of 538635780 is 87536835.

538635780 is a `hidden beast` number, since 5 + 3 + 8 + 635 + 7 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 711162 + ... + 711918.

It is an arithmetic number, because the mean of its divisors is an integer number (11726260).

Almost surely, 2538635780 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 538635780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844290720).

538635780 is an abundant number, since it is smaller than the sum of its proper divisors (1149945660).

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

538635780 is a wasteful number, since it uses less digits than its factorization.

538635780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 538635780 is about 23208.5281739278. The cubic root of 538635780 is about 813.6389543164.

The spelling of 538635780 in words is "five hundred thirty-eight million, six hundred thirty-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 67 90 118 134 177 180 201 236 268 295 335 354 402 531 590 603 670 708 757 804 885 1005 1062 1180 1206 1340 1514 1770 2010 2124 2271 2412 2655 3015 3028 3540 3785 3953 4020 4542 5310 6030 6813 7570 7906 9084 10620 11355 11859 12060 13626 15140 15812 19765 22710 23718 27252 34065 35577 39530 44663 45420 47436 50719 59295 68130 71154 79060 89326 101438 118590 133989 136260 142308 152157 177885 178652 202876 223315 237180 253595 267978 304314 355770 401967 446630 456471 507190 535956 608628 669945 711540 760785 803934 893260 912942 1014380 1339890 1521570 1607868 1825884 2009835 2282355 2679780 2992421 3043140 4019670 4564710 5984842 8039340 8977263 9129420 11969684 14962105 17954526 26931789 29924210 35909052 44886315 53863578 59848420 89772630 107727156 134658945 179545260 269317890 538635780