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538706916 = 223311467971
BaseRepresentation
bin100000000111000…
…000001111100100
31101112200010222000
4200013000033210
52100402110131
6125242205300
716230635046
oct4007001744
91345603860
10538706916
112570a4530
121304b3830
13877b81b7
145178da96
1532461ce6
hex201c03e4

538706916 has 96 divisors (see below), whose sum is σ = 1528450560. Its totient is φ = 162727200.

The previous prime is 538706911. The next prime is 538706957. The reversal of 538706916 is 619607835.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (538706911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 554311 + ... + 555281.

It is an arithmetic number, because the mean of its divisors is an integer number (15921360).

Almost surely, 2538706916 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 538706916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764225280).

538706916 is an abundant number, since it is smaller than the sum of its proper divisors (989743644).

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

538706916 is a wasteful number, since it uses less digits than its factorization.

538706916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 538706916 is about 23210.0606634278. The cubic root of 538706916 is about 813.6747710191.

The spelling of 538706916 in words is "five hundred thirty-eight million, seven hundred six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 467 594 934 971 1188 1401 1868 1942 2802 2913 3884 4203 5137 5604 5826 8406 8739 10274 10681 11652 12609 15411 16812 17478 20548 21362 25218 26217 30822 32043 34956 42724 46233 50436 52434 61644 64086 92466 96129 104868 128172 138699 184932 192258 277398 288387 384516 453457 554796 576774 906914 1153548 1360371 1813828 2720742 4081113 4988027 5441484 8162226 9976054 12243339 14964081 16324452 19952108 24486678 29928162 44892243 48973356 59856324 89784486 134676729 179568972 269353458 538706916