Search a number
-
+
45171450 = 23252372713
BaseRepresentation
bin1010110001010…
…0001011111010
310010222221120200
42230110023322
543030441300
64252103030
71055644122
oct254241372
9103887520
1045171450
1123552a85
1213164a76
13948768c
145ddbc82
153e74200
hex2b142fa

45171450 has 72 divisors (see below), whose sum is σ = 124686588. Its totient is φ = 11715840.

The previous prime is 45171449. The next prime is 45171479. The reversal of 45171450 is 5417154.

It is a happy number.

45171450 is a `hidden beast` number, since 4 + 517 + 145 + 0 = 666.

45171450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 39425841 + 5745609 = 6279^2 + 2397^2 .

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 35 ways as a sum of consecutive naturals, for example, 15294 + ... + 18006.

Almost surely, 245171450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45171450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62343294).

45171450 is an abundant number, since it is smaller than the sum of its proper divisors (79515138).

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

45171450 is a wasteful number, since it uses less digits than its factorization.

45171450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 45171450 is about 6720.9709120037. The cubic root of 45171450 is about 356.1404834186.

The spelling of 45171450 in words is "forty-five million, one hundred seventy-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 37 45 50 74 75 90 111 150 185 222 225 333 370 450 555 666 925 1110 1665 1850 2713 2775 3330 5426 5550 8139 8325 13565 16278 16650 24417 27130 40695 48834 67825 81390 100381 122085 135650 200762 203475 244170 301143 406950 501905 602286 610425 903429 1003810 1220850 1505715 1806858 2509525 3011430 4517145 5019050 7528575 9034290 15057150 22585725 45171450