Search a number
-
+
45427072 = 27675297
BaseRepresentation
bin1010110101001…
…0100110000000
310011110221020011
42231102212000
543112131242
64301354304
71061060305
oct255224600
9104427204
1045427072
1123708039
1213268994
139546b32
1460670ac
153ec4d17
hex2b52980

45427072 has 32 divisors (see below), whose sum is σ = 91867320. Its totient is φ = 22370304.

The previous prime is 45427061. The next prime is 45427087. The reversal of 45427072 is 27072454.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5928 + ... + 11224.

Almost surely, 245427072 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 45427072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45933660).

45427072 is an abundant number, since it is smaller than the sum of its proper divisors (46440248).

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

45427072 is an equidigital number, since it uses as much as digits as its factorization.

45427072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5378 (or 5366 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 31.

The square root of 45427072 is about 6739.9608307467. The cubic root of 45427072 is about 356.8110113435.

The spelling of 45427072 in words is "forty-five million, four hundred twenty-seven thousand, seventy-two".

Divisors: 1 2 4 8 16 32 64 67 128 134 268 536 1072 2144 4288 5297 8576 10594 21188 42376 84752 169504 339008 354899 678016 709798 1419596 2839192 5678384 11356768 22713536 45427072