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5852442585 = 3511294753491
BaseRepresentation
bin1010111001101010…
…10010111111011001
3120002212101212221210
411130311102333121
543441211130320
62404422053333
7265012640553
oct53465227731
916085355853
105852442585
112533607810
121173b7a249
137236438a2
143d739c4d3
15243bdc0e0
hex15cd52fd9

5852442585 has 128 divisors (see below), whose sum is σ = 11018280960. Its totient is φ = 2625459200.

The previous prime is 5852442577. The next prime is 5852442613.

5852442585 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5852442585 - 23 = 5852442577 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11919190 + ... + 11919680.

It is an arithmetic number, because the mean of its divisors is an integer number (86080320).

Almost surely, 25852442585 is an apocalyptic number.

5852442585 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5852442585 is a deficient number, since it is larger than the sum of its proper divisors (5165838375).

5852442585 is a wasteful number, since it uses less digits than its factorization.

5852442585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639.

The product of its digits is 2560000, while the sum is 48.

The square root of 5852442585 is about 76501.2587151349. The cubic root of 5852442585 is about 1802.1006940315.

The spelling of 5852442585 in words is "five billion, eight hundred fifty-two million, four hundred forty-two thousand, five hundred eighty-five".

Divisors: 1 3 5 11 15 29 33 47 53 55 87 141 145 159 165 235 265 319 435 491 517 583 705 795 957 1363 1473 1537 1551 1595 1749 2455 2491 2585 2915 4089 4611 4785 5401 6815 7365 7473 7685 7755 8745 12455 14239 14993 16203 16907 20445 23055 23077 26023 27005 27401 37365 42717 44979 50721 69231 71195 72239 74965 78069 81015 82203 84535 115385 130115 137005 156629 213585 216717 224895 253605 253847 286253 346155 361195 390345 411015 469887 669233 754667 761541 783145 794629 858759 1083585 1223081 1269235 1431265 2007699 2264001 2349435 2383887 3346165 3669243 3773335 3807705 3973145 4293795 6115405 7361563 8301337 10038495 11320005 11919435 13453891 18346215 22084689 24904011 35469349 36807815 40361673 41506685 67269455 106408047 110423445 124520055 177346745 201808365 390162839 532040235 1170488517 1950814195 5852442585