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45430144 = 27973659
BaseRepresentation
bin1010110101001…
…1010110000000
310011111002102221
42231103112000
543112231034
64301420424
71061102254
oct255232600
9104432387
1045430144
112370a381
121326a714
139548356
146068264
153ec5bb4
hex2b53580

45430144 has 32 divisors (see below), whose sum is σ = 91463400. Its totient is φ = 22474752.

The previous prime is 45430141. The next prime is 45430157. The reversal of 45430144 is 44103454.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45430141) 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 3 ways as a sum of consecutive naturals, for example, 10587 + ... + 14245.

Almost surely, 245430144 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 45430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45731700).

45430144 is an abundant number, since it is smaller than the sum of its proper divisors (46033256).

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

45430144 is an equidigital number, since it uses as much as digits as its factorization.

45430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3758 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 45430144 is about 6740.1887213935. The cubic root of 45430144 is about 356.8190542620.

Adding to 45430144 its reverse (44103454), we get a palindrome (89533598).

The spelling of 45430144 in words is "forty-five million, four hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 97 128 194 388 776 1552 3104 3659 6208 7318 12416 14636 29272 58544 117088 234176 354923 468352 709846 1419692 2839384 5678768 11357536 22715072 45430144