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4682505840 = 2435175692017
BaseRepresentation
bin1000101110001100…
…10101111001110000
3110002022221221110020
410113012111321300
534042210141330
62052350203440
7224015433345
oct42706257160
913068857406
104682505840
111a93174a41
12aa81b3580
1359814711c
14325c567cc
151c613e210
hex117195e70

4682505840 has 160 divisors (see below), whose sum is σ = 15404281920. Its totient is φ = 1172570112.

The previous prime is 4682505829. The next prime is 4682505847. The reversal of 4682505840 is 485052864.

It is a junction number, because it is equal to n+sod(n) for n = 4682505792 and 4682505801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4682505847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2320512 + ... + 2322528.

It is an arithmetic number, because the mean of its divisors is an integer number (96276762).

Almost surely, 24682505840 is an apocalyptic number.

4682505840 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 4682505840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7702140960).

4682505840 is an abundant number, since it is smaller than the sum of its proper divisors (10721776080).

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

4682505840 is a wasteful number, since it uses less digits than its factorization.

4682505840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2619 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 4682505840 is about 68428.8377805732. The cubic root of 4682505840 is about 1672.9878075095.

The spelling of 4682505840 in words is "four billion, six hundred eighty-two million, five hundred five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 569 680 816 1020 1138 1360 1707 2017 2040 2276 2845 3414 4034 4080 4552 5690 6051 6828 8068 8535 9104 9673 10085 11380 12102 13656 16136 17070 19346 20170 22760 24204 27312 29019 30255 32272 34140 34289 38692 40340 45520 48365 48408 58038 60510 68280 68578 77384 80680 96730 96816 102867 116076 121020 136560 137156 145095 154768 161360 171445 193460 205734 232152 242040 274312 290190 342890 386920 411468 464304 484080 514335 548624 580380 685780 773840 822936 1028670 1147673 1160760 1371560 1645872 2057340 2295346 2321520 2743120 3443019 4114680 4590692 5738365 6886038 8229360 9181384 11476730 13772076 17215095 18362768 19510441 22953460 27544152 34430190 39020882 45906920 55088304 58531323 68860380 78041764 91813840 97552205 117062646 137720760 156083528 195104410 234125292 275441520 292656615 312167056 390208820 468250584 585313230 780417640 936501168 1170626460 1560835280 2341252920 4682505840