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2864045952 = 2734276239
BaseRepresentation
bin1010101010110101…
…1101111110000000
321101121012121110000
42222231131332000
521331143432302
61152110240000
7130654663125
oct25255357600
97347177400
102864045952
11123a752129
1267b1b6000
13368492961
141d253674c
1511b68b31c
hexaab5df80

2864045952 has 80 divisors (see below), whose sum is σ = 8523385200. Its totient is φ = 954678528.

The previous prime is 2864045927. The next prime is 2864045971. The reversal of 2864045952 is 2595404682.

It is a junction number, because it is equal to n+sod(n) for n = 2864045898 and 2864045907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 127752 + ... + 148487.

It is an arithmetic number, because the mean of its divisors is an integer number (106542315).

Almost surely, 22864045952 is an apocalyptic number.

It is an amenable number.

2864045952 is an abundant number, since it is smaller than the sum of its proper divisors (5659339248).

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

2864045952 is an equidigital number, since it uses as much as digits as its factorization.

2864045952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276265 (or 276244 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 2864045952 is about 53516.7819660338. The cubic root of 2864045952 is about 1420.1252868362.

The spelling of 2864045952 in words is "two billion, eight hundred sixty-four million, forty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 276239 552478 828717 1104956 1657434 2209912 2486151 3314868 4419824 4972302 6629736 7458453 8839648 9944604 13259472 14916906 17679296 19889208 22375359 26518944 29833812 35358592 39778416 44750718 53037888 59667624 79556832 89501436 106075776 119335248 159113664 179002872 238670496 318227328 358005744 477340992 716011488 954681984 1432022976 2864045952