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4807203840 = 210325104323
BaseRepresentation
bin1000111101000100…
…00001110000000000
3110102000121020221200
410132202001300000
534321121010330
62113003021200
7230061362355
oct43642016000
913360536850
104807203840
1120475a543a
12b21b0a800
135b7c2751a
1433863662c
151d2071a60
hex11e881c00

4807203840 has 132 divisors (see below), whose sum is σ = 16656995784. Its totient is φ = 1281908736.

The previous prime is 4807203809. The next prime is 4807203853. The reversal of 4807203840 is 483027084.

It is a super-3 number, since 3×48072038403 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4807203795 and 4807203804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6082 + ... + 98241.

It is an arithmetic number, because the mean of its divisors is an integer number (126189362).

Almost surely, 24807203840 is an apocalyptic number.

4807203840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4807203840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8328497892).

4807203840 is an abundant number, since it is smaller than the sum of its proper divisors (11849791944).

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

4807203840 is a wasteful number, since it uses less digits than its factorization.

4807203840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104354 (or 104333 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4807203840 is about 69334.0020480572. The cubic root of 4807203840 is about 1687.7087912849.

The spelling of 4807203840 in words is "four billion, eight hundred seven million, two hundred three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 11520 15360 23040 46080 104323 208646 312969 417292 521615 625938 834584 938907 1043230 1251876 1564845 1669168 1877814 2086460 2503752 3129690 3338336 3755628 4172920 4694535 5007504 6259380 6676672 7511256 8345840 9389070 10015008 12518760 13353344 15022512 16691680 18778140 20030016 25037520 26706688 30045024 33383360 37556280 40060032 50075040 53413376 60090048 66766720 75112560 80120064 100150080 106826752 120180096 133533440 150225120 160240128 200300160 240360192 267066880 300450240 320480256 400600320 480720384 534133760 600900480 801200640 961440768 1201800960 1602401280 2403601920 4807203840