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4929335040 = 28357183383
BaseRepresentation
bin1001001011100111…
…11010111100000000
3110201112102011110110
410211303322330000
540043402210130
62133044431320
7233103441120
oct44563727400
913645364413
104929335040
1120aa532413
12b569a8540
136073194c6
1434a948c80
151dcb48ab0
hex125cfaf00

4929335040 has 144 divisors (see below), whose sum is σ = 17992171008. Its totient is φ = 1126699008.

The previous prime is 4929334979. The next prime is 4929335041. The reversal of 4929335040 is 405339294.

It is a self number, because there is not a number n which added to its sum of digits gives 4929335040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4929335041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64812 + ... + 118571.

It is an arithmetic number, because the mean of its divisors is an integer number (124945632).

Almost surely, 24929335040 is an apocalyptic number.

4929335040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4929335040 is an abundant number, since it is smaller than the sum of its proper divisors (13062835968).

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

4929335040 is a wasteful number, since it uses less digits than its factorization.

4929335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183414 (or 183400 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 4929335040 is about 70209.2233257141. The cubic root of 4929335040 is about 1701.8820033975.

The spelling of 4929335040 in words is "four billion, nine hundred twenty-nine million, three hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3840 4480 5376 6720 8960 13440 26880 183383 366766 550149 733532 916915 1100298 1283681 1467064 1833830 2200596 2567362 2750745 2934128 3667660 3851043 4401192 5134724 5501490 5868256 6418405 7335320 7702086 8802384 10269448 11002980 11736512 12836810 14670640 15404172 17604768 19255215 20538896 22005960 23473024 25673620 29341280 30808344 35209536 38510430 41077792 44011920 46946048 51347240 58682560 61616688 70419072 77020860 82155584 88023840 102694480 117365120 123233376 140838144 154041720 164311168 176047680 205388960 234730240 246466752 308083440 328622336 352095360 410777920 492933504 616166880 704190720 821555840 985867008 1232333760 1643111680 2464667520 4929335040