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2727442272 = 25337220753
BaseRepresentation
bin1010001010010001…
…0111011101100000
321001002011102102110
42202210113131200
521041211123042
61130350315320
7124405606512
oct24244273540
97032142373
102727442272
11117a62a825
126414b8b40
133460a4489
141bc337bb2
1510e6a609c
hexa2917760

2727442272 has 72 divisors (see below), whose sum is σ = 7358621256. Its totient is φ = 884533248.

The previous prime is 2727442261. The next prime is 2727442357. The reversal of 2727442272 is 2722447272.

It is a self number, because there is not a number n which added to its sum of digits gives 2727442272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121048 + ... + 141800.

It is an arithmetic number, because the mean of its divisors is an integer number (102203073).

Almost surely, 22727442272 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 2727442272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679310628).

2727442272 is an abundant number, since it is smaller than the sum of its proper divisors (4631178984).

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

2727442272 is a wasteful number, since it uses less digits than its factorization.

2727442272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20840 (or 20795 counting only the distinct ones).

The product of its digits is 175616, while the sum is 39.

The square root of 2727442272 is about 52224.9200286606. The cubic root of 2727442272 is about 1397.1783768579.

The spelling of 2727442272 in words is "two billion, seven hundred twenty-seven million, four hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1369 1776 2738 3552 4107 5476 8214 10952 16428 20753 21904 32856 41506 43808 62259 65712 83012 124518 131424 166024 249036 332048 498072 664096 767861 996144 1535722 1992288 2303583 3071444 4607166 6142888 9214332 12285776 18428664 24571552 28410857 36857328 56821714 73714656 85232571 113643428 170465142 227286856 340930284 454573712 681860568 909147424 1363721136 2727442272