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5735243040 = 253531385433
BaseRepresentation
bin1010101011101100…
…01101110100100000
3112210200212112101220
411111312031310200
543221210234130
62345034055040
7262060522122
oct52566156440
915720775356
105735243040
112483438a8a
12114087a480
1370528a547
143c59b1212
1523878b410
hex155d8dd20

5735243040 has 96 divisors (see below), whose sum is σ = 18648838656. Its totient is φ = 1480058880.

The previous prime is 5735242987. The next prime is 5735243047. The reversal of 5735243040 is 403425375.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 5735242992 and 5735243010.

It is not an unprimeable number, because it can be changed into a prime (5735243047) 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, 177837 + ... + 207596.

It is an arithmetic number, because the mean of its divisors is an integer number (194258736).

Almost surely, 25735243040 is an apocalyptic number.

It is an amenable number.

5735243040 is an abundant number, since it is smaller than the sum of its proper divisors (12913595616).

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

5735243040 is a wasteful number, since it uses less digits than its factorization.

5735243040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385482 (or 385474 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 33.

The square root of 5735243040 is about 75731.3874163150. The cubic root of 5735243040 is about 1789.9900169018.

The spelling of 5735243040 in words is "five billion, seven hundred thirty-five million, two hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4960 7440 14880 385433 770866 1156299 1541732 1927165 2312598 3083464 3854330 4625196 5781495 6166928 7708660 9250392 11562990 11948423 12333856 15417320 18500784 23125980 23896846 30834640 35845269 37001568 46251960 47793692 59742115 61669280 71690538 92503920 95587384 119484230 143381076 179226345 185007840 191174768 238968460 286762152 358452690 382349536 477936920 573524304 716905380 955873840 1147048608 1433810760 1911747680 2867621520 5735243040