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4842807264 = 25353891601
BaseRepresentation
bin1001000001010011…
…10101111111100000
3110111111121002200000
410200221311333200
534404224313024
62120314100000
7231003116421
oct44051657740
913444532600
104842807264
112065702859
12b31a1a600
135c2411b39
1433d263648
151d5255cc9
hex120a75fe0

4842807264 has 144 divisors (see below), whose sum is σ = 14327454960. Its totient is φ = 1609113600.

The previous prime is 4842807253. The next prime is 4842807311. The reversal of 4842807264 is 4627082484.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3024064 + ... + 3025664.

It is an arithmetic number, because the mean of its divisors is an integer number (99496215).

Almost surely, 24842807264 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 4842807264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7163727480).

4842807264 is an abundant number, since it is smaller than the sum of its proper divisors (9484647696).

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

4842807264 is a wasteful number, since it uses less digits than its factorization.

4842807264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 4842807264 is about 69590.2813904355. The cubic root of 4842807264 is about 1691.8650865719.

The spelling of 4842807264 in words is "four billion, eight hundred forty-two million, eight hundred seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 389 432 486 648 778 864 972 1167 1296 1556 1601 1944 2334 2592 3112 3202 3501 3888 4668 4803 6224 6404 7002 7776 9336 9606 10503 12448 12808 14004 14409 18672 19212 21006 25616 28008 28818 31509 37344 38424 42012 43227 51232 56016 57636 63018 76848 84024 86454 94527 112032 115272 126036 129681 153696 168048 172908 189054 230544 252072 259362 336096 345816 378108 389043 461088 504144 518724 622789 691632 756216 778086 1008288 1037448 1245578 1383264 1512432 1556172 1868367 2074896 2491156 3024864 3112344 3736734 4149792 4982312 5605101 6224688 7473468 9964624 11210202 12449376 14946936 16815303 19929248 22420404 29893872 33630606 44840808 50445909 59787744 67261212 89681616 100891818 134522424 151337727 179363232 201783636 269044848 302675454 403567272 538089696 605350908 807134544 1210701816 1614269088 2421403632 4842807264