Search a number
-
+
28215072 = 25323132
BaseRepresentation
bin110101110100…
…0011100100000
31222002110210200
41223220130200
524210340242
62444425200
7461552454
oct153503440
958073720
1028215072
1114a21446
129548200
135acb712
143a66664
15272504c
hex1ae8720

28215072 has 54 divisors (see below), whose sum is σ = 80493777. Its totient is φ = 9374976.

The previous prime is 28215071. The next prime is 28215073. The reversal of 28215072 is 27051282.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (28215071) and next prime (28215073).

It can be written as a sum of positive squares in 2 ways, for example, as 16353936 + 11861136 = 4044^2 + 3444^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3756.

It is not an unprimeable number, because it can be changed into a prime (28215071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 89988 + ... + 90300.

Almost surely, 228215072 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 28215072

28215072 is an abundant number, since it is smaller than the sum of its proper divisors (52278705).

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

28215072 is an equidigital number, since it uses as much as digits as its factorization.

28215072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 28215072 is about 5311.7861402733. The cubic root of 28215072 is about 304.4343974441.

The spelling of 28215072 in words is "twenty-eight million, two hundred fifteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 313 626 939 1252 1878 2504 2817 3756 5008 5634 7512 10016 11268 15024 22536 30048 45072 90144 97969 195938 293907 391876 587814 783752 881721 1175628 1567504 1763442 2351256 3135008 3526884 4702512 7053768 9405024 14107536 28215072