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4657265760 = 253572198013
BaseRepresentation
bin1000101011001100…
…00011110001100000
3110000120110121120110
410111212003301200
534014230001020
62050045211320
7223261051200
oct42546036140
913016417513
104657265760
111a7a9a5774
12a9b860b40
13592b4a874
14322766400
151c3d058e0
hex115983c60

4657265760 has 144 divisors (see below), whose sum is σ = 17065638576. Its totient is φ = 1064512512.

The previous prime is 4657265707. The next prime is 4657265761. The reversal of 4657265760 is 675627564.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4657265761) 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 23 ways as a sum of consecutive naturals, for example, 75487 + ... + 122526.

It is an arithmetic number, because the mean of its divisors is an integer number (118511379).

Almost surely, 24657265760 is an apocalyptic number.

4657265760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4657265760 is an abundant number, since it is smaller than the sum of its proper divisors (12408372816).

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

4657265760 is a wasteful number, since it uses less digits than its factorization.

4657265760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198045 (or 198030 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The square root of 4657265760 is about 68244.1628273071. The cubic root of 4657265760 is about 1669.9764252591.

The spelling of 4657265760 in words is "four billion, six hundred fifty-seven million, two hundred sixty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 980 1120 1176 1470 1568 1680 1960 2352 2940 3360 3920 4704 5880 7840 11760 23520 198013 396026 594039 792052 990065 1188078 1386091 1584104 1980130 2376156 2772182 2970195 3168208 3960260 4158273 4752312 5544364 5940390 6336416 6930455 7920520 8316546 9504624 9702637 11088728 11880780 13860910 15841040 16633092 19009248 19405274 20791365 22177456 23761560 27721820 29107911 31682080 33266184 38810548 41582730 44354912 47523120 48513185 55443640 58215822 66532368 77621096 83165460 95046240 97026370 110887280 116431644 133064736 145539555 155242192 166330920 194052740 221774560 232863288 291079110 310484384 332661840 388105480 465726576 582158220 665323680 776210960 931453152 1164316440 1552421920 2328632880 4657265760