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5742108288 = 27327712067
BaseRepresentation
bin1010101100100000…
…11001111010000000
3112211011210022202100
411112100121322000
543224434431123
62345441150400
7262203054330
oct52620317200
915734708670
105742108288
1124872a7a44
12114302b400
13706822317
143c687b0c0
15239195643
hex156419e80

5742108288 has 96 divisors (see below), whose sum is σ = 18884043360. Its totient is φ = 1640600064.

The previous prime is 5742108287. The next prime is 5742108293. The reversal of 5742108288 is 8828012475.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×57421082882 = 65943615182236581888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5742108287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 347970 + ... + 364097.

It is an arithmetic number, because the mean of its divisors is an integer number (196708785).

Almost surely, 25742108288 is an apocalyptic number.

It is an amenable number.

5742108288 is an abundant number, since it is smaller than the sum of its proper divisors (13141935072).

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

5742108288 is a wasteful number, since it uses less digits than its factorization.

5742108288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712094 (or 712079 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 5742108288 is about 75776.7001656842. The cubic root of 5742108288 is about 1790.7039549882.

The spelling of 5742108288 in words is "five billion, seven hundred forty-two million, one hundred eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 712067 1424134 2136201 2848268 4272402 4984469 5696536 6408603 8544804 9968938 11393072 12817206 14953407 17089608 19937876 22786144 25634412 29906814 34179216 39875752 44860221 45572288 51268824 59813628 68358432 79751504 89720442 91144576 102537648 119627256 136716864 159503008 179440884 205075296 239254512 273433728 319006016 358881768 410150592 478509024 638012032 717763536 820301184 957018048 1435527072 1914036096 2871054144 5742108288