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639742608 = 243223419461
BaseRepresentation
bin100110001000011…
…011001010010000
31122120210021212200
4212020123022100
52302233230413
6143251523200
721565502541
oct4610331220
91576707780
10639742608
112a91330aa
1215a2b9500
13a270222b
1460d704c8
153b26d573
hex2621b290

639742608 has 120 divisors (see below), whose sum is σ = 1876754880. Its totient is φ = 203047680.

The previous prime is 639742583. The next prime is 639742619. The reversal of 639742608 is 806247936.

639742608 is a `hidden beast` number, since 6 + 39 + 7 + 4 + 2 + 608 = 666.

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 23 ways as a sum of consecutive naturals, for example, 1387498 + ... + 1387958.

It is an arithmetic number, because the mean of its divisors is an integer number (15639624).

Almost surely, 2639742608 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 639742608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938377440).

639742608 is an abundant number, since it is smaller than the sum of its proper divisors (1237012272).

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

639742608 is a wasteful number, since it uses less digits than its factorization.

639742608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 639742608 is about 25293.1336136905. The cubic root of 639742608 is about 861.6583325523.

The spelling of 639742608 in words is "six hundred thirty-nine million, seven hundred forty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 419 461 552 828 838 922 1104 1257 1383 1656 1676 1844 2514 2766 3312 3352 3688 3771 4149 5028 5532 6704 7376 7542 8298 9637 10056 10603 11064 15084 16596 19274 20112 21206 22128 28911 30168 31809 33192 38548 42412 57822 60336 63618 66384 77096 84824 86733 95427 115644 127236 154192 169648 173466 190854 193159 231288 254472 346932 381708 386318 462576 508944 579477 693864 763416 772636 1158954 1387728 1526832 1545272 1738431 2317908 3090544 3476862 4442657 4635816 6953724 8885314 9271632 13327971 13907448 17770628 26655942 27814896 35541256 39983913 53311884 71082512 79967826 106623768 159935652 213247536 319871304 639742608