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842140585 = 511135371313
BaseRepresentation
bin110010001100100…
…000101110101001
32011200122011201001
4302030200232221
53211041444320
6215321555001
726604035236
oct6214405651
92150564631
10842140585
113a2403760
121b6045a61
13105618b50
147dbb878d
154dded20a
hex32320ba9

842140585 has 64 divisors (see below), whose sum is σ = 1230598656. Its totient is φ = 545126400.

The previous prime is 842140567. The next prime is 842140613. The reversal of 842140585 is 585041248.

It is not a de Polignac number, because 842140585 - 29 = 842140073 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2690389 + ... + 2690701.

It is an arithmetic number, because the mean of its divisors is an integer number (19228104).

Almost surely, 2842140585 is an apocalyptic number.

It is an amenable number.

842140585 is a deficient number, since it is larger than the sum of its proper divisors (388458071).

842140585 is a wasteful number, since it uses less digits than its factorization.

842140585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466.

The product of its (nonzero) digits is 51200, while the sum is 37.

The square root of 842140585 is about 29019.6585955107. The cubic root of 842140585 is about 944.3395943912.

The spelling of 842140585 in words is "eight hundred forty-two million, one hundred forty thousand, five hundred eighty-five".

Divisors: 1 5 11 13 53 55 65 71 143 265 313 355 583 689 715 781 923 1565 2915 3443 3445 3763 3905 4069 4615 7579 10153 16589 17215 18815 20345 22223 37895 41393 44759 48919 50765 82945 111115 182479 206965 215657 223795 244453 244595 288899 538109 912395 1078285 1177819 1222265 1444495 2372227 2690545 3177889 5889095 11861135 12956009 15311647 15889445 64780045 76558235 168428117 842140585