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2728634472 = 233317970573
BaseRepresentation
bin1010001010100011…
…1010100001101000
321001011101222211000
42202220322201220
521042012300342
61130432035000
7124422003354
oct24250724150
97034358730
102728634472
111180274513
12641992a60
13346401015
141bc568464
1510e83e44c
hexa2a3a868

2728634472 has 64 divisors (see below), whose sum is σ = 7621992000. Its totient is φ = 904450752.

The previous prime is 2728634459. The next prime is 2728634533. The reversal of 2728634472 is 2744368272.

2728634472 is a `hidden beast` number, since 2 + 7 + 2 + 8 + 634 + 4 + 7 + 2 = 666.

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, 3378 + ... + 73950.

It is an arithmetic number, because the mean of its divisors is an integer number (119093625).

Almost surely, 22728634472 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 2728634472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810996000).

2728634472 is an abundant number, since it is smaller than the sum of its proper divisors (4893357528).

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

2728634472 is a wasteful number, since it uses less digits than its factorization.

2728634472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70767 (or 70757 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The square root of 2728634472 is about 52236.3328728195. The cubic root of 2728634472 is about 1397.3819220664.

The spelling of 2728634472 in words is "two billion, seven hundred twenty-eight million, six hundred thirty-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 179 216 358 537 716 1074 1432 1611 2148 3222 4296 4833 6444 9666 12888 19332 38664 70573 141146 211719 282292 423438 564584 635157 846876 1270314 1693752 1905471 2540628 3810942 5081256 7621884 12632567 15243768 25265134 37897701 50530268 75795402 101060536 113693103 151590804 227386206 303181608 341079309 454772412 682158618 909544824 1364317236 2728634472