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2285413872 = 243716341729
BaseRepresentation
bin1000100000111000…
…1010010111110000
312220021102001110020
42020032022113300
514140031220442
61014440203440
7110430461130
oct21016122760
95807361406
102285413872
11a730692a5
12539469580
132a5639001
14179752ac0
15d598e9ec
hex8838a5f0

2285413872 has 80 divisors (see below), whose sum is σ = 6788970240. Its totient is φ = 648953856.

The previous prime is 2285413849. The next prime is 2285413909. The reversal of 2285413872 is 2783145822.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 33904 + ... + 75632.

It is an arithmetic number, because the mean of its divisors is an integer number (84862128).

Almost surely, 22285413872 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 2285413872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3394485120).

2285413872 is an abundant number, since it is smaller than the sum of its proper divisors (4503556368).

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

2285413872 is a wasteful number, since it uses less digits than its factorization.

2285413872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41910 (or 41904 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 2285413872 is about 47806.0024683094. The cubic root of 2285413872 is about 1317.2097995594.

The spelling of 2285413872 in words is "two billion, two hundred eighty-five million, four hundred thirteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 163 168 326 336 489 652 978 1141 1304 1956 2282 2608 3423 3912 4564 6846 7824 9128 13692 18256 27384 41729 54768 83458 125187 166916 250374 292103 333832 500748 584206 667664 876309 1001496 1168412 1752618 2002992 2336824 3505236 4673648 6801827 7010472 13603654 14020944 20405481 27207308 40810962 47612789 54414616 81621924 95225578 108829232 142838367 163243848 190451156 285676734 326487696 380902312 571353468 761804624 1142706936 2285413872