Search a number
-
+
45412952 = 2313835261
BaseRepresentation
bin1010110100111…
…1001001011000
310011110012212012
42231033021120
543111203302
64301205052
71061001164
oct255171130
9104405765
1045412952
11236a8472
1213260788
139540590
146061ca4
153ec0a52
hex2b4f258

45412952 has 32 divisors (see below), whose sum is σ = 92821680. Its totient is φ = 20703360.

The previous prime is 45412921. The next prime is 45412963. The reversal of 45412952 is 25921454.

45412952 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6002 + ... + 11262.

Almost surely, 245412952 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 45412952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46410840).

45412952 is an abundant number, since it is smaller than the sum of its proper divisors (47408728).

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

45412952 is a wasteful number, since it uses less digits than its factorization.

45412952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5363 (or 5359 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

The square root of 45412952 is about 6738.9132655051. The cubic root of 45412952 is about 356.7740385770.

It can be divided in two parts, 45412 and 952, that added together give a palindrome (46364).

The spelling of 45412952 in words is "forty-five million, four hundred twelve thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 83 104 166 332 664 1079 2158 4316 5261 8632 10522 21044 42088 68393 136786 273572 436663 547144 873326 1746652 3493304 5676619 11353238 22706476 45412952