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2723993272 = 2371113675077
BaseRepresentation
bin1010001001011100…
…1101011010111000
321000211200012021201
42202113031122320
521034320241042
61130144343544
7124334363230
oct24227153270
97024605251
102723993272
111178694510
12640314bb4
13345467650
141bbabacc0
1510e2241b7
hexa25cd6b8

2723993272 has 128 divisors (see below), whose sum is σ = 6961328640. Its totient is φ = 964846080.

The previous prime is 2723993257. The next prime is 2723993299.

2723993272 is nontrivially palindromic in base 10.

2723993272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 533998 + ... + 539074.

It is an arithmetic number, because the mean of its divisors is an integer number (54385380).

Almost surely, 22723993272 is an apocalyptic number.

2723993272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2723993272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480664320).

2723993272 is an abundant number, since it is smaller than the sum of its proper divisors (4237335368).

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

2723993272 is a wasteful number, since it uses less digits than its factorization.

2723993272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5181 (or 5177 counting only the distinct ones).

The product of its digits is 571536, while the sum is 46.

The square root of 2723993272 is about 52191.8889483797. Note that the first 3 decimals coincide. The cubic root of 2723993272 is about 1396.5891922654.

The spelling of 2723993272 in words is "two billion, seven hundred twenty-three million, nine hundred ninety-three thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 67 77 88 91 104 134 143 154 182 268 286 308 364 469 536 572 616 728 737 871 938 1001 1144 1474 1742 1876 2002 2948 3484 3752 4004 5077 5159 5896 6097 6968 8008 9581 10154 10318 12194 19162 20308 20636 24388 35539 38324 40616 41272 48776 55847 66001 67067 71078 76648 111694 132002 134134 142156 223388 264004 268268 284312 340159 390929 446776 462007 528008 536536 680318 726011 781858 924014 1360636 1452022 1563716 1848028 2381113 2721272 2904044 3127432 3696056 3741749 4422067 4762226 5082077 5808088 7483498 8844134 9524452 10164154 14966996 17688268 19048904 20328308 26192243 29933992 30954469 35376536 40656616 48642737 52384486 61908938 97285474 104768972 123817876 194570948 209537944 247635752 340499159 389141896 680998318 1361996636 2723993272