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538541568 = 2933163239
BaseRepresentation
bin100000000110010…
…111111000000000
31101112100202011000
4200012113320000
52100331312233
6125234452000
716226346015
oct4006277000
91345322130
10538541568
11256aa1284
12130434000
138775ab66
145174970c
153242cd13
hex20197e00

538541568 has 160 divisors (see below), whose sum is σ = 1610611200. Its totient is φ = 177666048.

The previous prime is 538541543. The next prime is 538541569. The reversal of 538541568 is 865145835.

538541568 is a `hidden beast` number, since 5 + 3 + 85 + 4 + 1 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538541569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2253193 + ... + 2253431.

It is an arithmetic number, because the mean of its divisors is an integer number (10066320).

Almost surely, 2538541568 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 538541568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805305600).

538541568 is an abundant number, since it is smaller than the sum of its proper divisors (1072069632).

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

538541568 is a wasteful number, since it uses less digits than its factorization.

538541568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 407 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 538541568 is about 23206.4984002326. The cubic root of 538541568 is about 813.5915140821.

The spelling of 538541568 in words is "five hundred thirty-eight million, five hundred forty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 163 192 216 239 256 288 326 384 432 478 489 512 576 652 717 768 864 956 978 1152 1304 1434 1467 1536 1728 1912 1956 2151 2304 2608 2868 2934 3456 3824 3912 4302 4401 4608 5216 5736 5868 6453 6912 7648 7824 8604 8802 10432 11472 11736 12906 13824 15296 15648 17208 17604 20864 22944 23472 25812 30592 31296 34416 35208 38957 41728 45888 46944 51624 61184 62592 68832 70416 77914 83456 91776 93888 103248 116871 122368 125184 137664 140832 155828 183552 187776 206496 233742 250368 275328 281664 311656 350613 367104 375552 412992 467484 550656 563328 623312 701226 751104 825984 934968 1051839 1101312 1126656 1246624 1402452 1651968 1869936 2103678 2253312 2493248 2804904 3303936 3739872 4207356 4986496 5609808 7479744 8414712 9972992 11219616 14959488 16829424 19945984 22439232 29918976 33658848 44878464 59837952 67317696 89756928 134635392 179513856 269270784 538541568