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5729571072 = 28333592309
BaseRepresentation
bin1010101011000001…
…00101000100000000
3112210022012100221000
411111200211010000
543213232233242
62344312332000
7261661356561
oct52540450400
915708170830
105729571072
112480214605
12113a9a4000
13704052954
143c4d36168
1523801aa4c
hex155825100

5729571072 has 144 divisors (see below), whose sum is σ = 16997904000. Its totient is φ = 1903712256.

The previous prime is 5729571061. The next prime is 5729571073. The reversal of 5729571072 is 2701759275.

5729571072 is a `hidden beast` number, since 5 + 7 + 2 + 9 + 571 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (5729571073) 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, 2480254 + ... + 2482562.

It is an arithmetic number, because the mean of its divisors is an integer number (118041000).

Almost surely, 25729571072 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 5729571072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8498952000).

5729571072 is an abundant number, since it is smaller than the sum of its proper divisors (11268332928).

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

5729571072 is a wasteful number, since it uses less digits than its factorization.

5729571072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2693 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 308700, while the sum is 45.

The square root of 5729571072 is about 75693.9302190077. The cubic root of 5729571072 is about 1789.3997417217.

The spelling of 5729571072 in words is "five billion, seven hundred twenty-nine million, five hundred seventy-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 359 384 432 576 718 768 864 1077 1152 1436 1728 2154 2304 2309 2872 3231 3456 4308 4618 5744 6462 6912 6927 8616 9236 9693 11488 12924 13854 17232 18472 19386 20781 22976 25848 27708 34464 36944 38772 41562 45952 51696 55416 62343 68928 73888 77544 83124 91904 103392 110832 124686 137856 147776 155088 166248 206784 221664 249372 275712 295552 310176 332496 413568 443328 498744 591104 620352 664992 827136 828931 886656 997488 1240704 1329984 1657862 1773312 1994976 2481408 2486793 2659968 3315724 3989952 4973586 5319936 6631448 7460379 7979904 9947172 13262896 14920758 15959808 19894344 22381137 26525792 29841516 39788688 44762274 53051584 59683032 79577376 89524548 106103168 119366064 159154752 179049096 212206336 238732128 318309504 358098192 477464256 636619008 716196384 954928512 1432392768 1909857024 2864785536 5729571072