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2859485408 = 2513217191637
BaseRepresentation
bin1010101001110000…
…0100100011100000
321101021121220112222
42222130010203200
521324012013113
61151424410212
7130601140103
oct25234044340
97337556488
102859485408
11123811778a
12679776968
13367556c00
141d1aaa73a
1511b089e08
hexaa7048e0

2859485408 has 144 divisors (see below), whose sum is σ = 6798420720. Its totient is φ = 1176035328.

The previous prime is 2859485401. The next prime is 2859485411. The reversal of 2859485408 is 8045849582.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2859485408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2859485401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1745966 + ... + 1747602.

It is an arithmetic number, because the mean of its divisors is an integer number (47211255).

Almost surely, 22859485408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2859485408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399210360).

2859485408 is an abundant number, since it is smaller than the sum of its proper divisors (3938935312).

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

2859485408 is a wasteful number, since it uses less digits than its factorization.

2859485408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 53.

The square root of 2859485408 is about 53474.1564496346. The cubic root of 2859485408 is about 1419.3711107935.

The spelling of 2859485408 in words is "two billion, eight hundred fifty-nine million, four hundred eighty-five thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 17 19 26 32 34 38 52 68 76 104 136 152 169 208 221 247 272 304 323 338 416 442 494 544 608 646 676 884 988 1292 1352 1637 1768 1976 2584 2704 2873 3211 3274 3536 3952 4199 5168 5408 5746 6422 6548 7072 7904 8398 10336 11492 12844 13096 16796 21281 22984 25688 26192 27829 31103 33592 42562 45968 51376 52384 54587 55658 62206 67184 85124 91936 102752 109174 111316 124412 134368 170248 218348 222632 248824 276653 340496 361777 404339 436696 445264 497648 528751 553306 680992 723554 808678 873392 890528 995296 1057502 1106612 1447108 1617356 1746784 2115004 2213224 2894216 3234712 4230008 4426448 4703101 5256407 5788432 6469424 6873763 8460016 8852896 9406202 10512814 11576864 12938848 13747526 16920032 18812404 21025628 27495052 37624808 42051256 54990104 75249616 84102512 89358919 109980208 150499232 168205024 178717838 219960416 357435676 714871352 1429742704 2859485408