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12722752 = 26724057
BaseRepresentation
bin110000100010…
…001001000000
3212221101100001
4300202021000
511224112002
61132405344
7213066400
oct60421100
925841301
1012722752
1171aa879
124316854
132835c73
141992800
1511b4a87
hexc22240

12722752 has 42 divisors (see below), whose sum is σ = 29375862. Its totient is φ = 5451264.

The previous prime is 12722747. The next prime is 12722767. The reversal of 12722752 is 25722721.

It can be written as a sum of positive squares in only one way, i.e., 10916416 + 1806336 = 3304^2 + 1344^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 12722752.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1108 + ... + 5164.

Almost surely, 212722752 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 12722752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14687931).

12722752 is an abundant number, since it is smaller than the sum of its proper divisors (16653110).

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

12722752 is an equidigital number, since it uses as much as digits as its factorization.

12722752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4083 (or 4066 counting only the distinct ones).

The product of its digits is 3920, while the sum is 28.

The square root of 12722752 is about 3566.8966904019. The cubic root of 12722752 is about 233.4498973152.

The spelling of 12722752 in words is "twelve million, seven hundred twenty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 4057 8114 16228 28399 32456 56798 64912 113596 129824 198793 227192 259648 397586 454384 795172 908768 1590344 1817536 3180688 6361376 12722752