Search a number
-
+
45213444 = 2233616863
BaseRepresentation
bin1010110001111…
…0011100000100
310011002002012000
42230132130010
543033312234
64253025300
71056210423
oct254363404
9104062160
1045213444
1123581591
1213185230
1394a0823
14600d2ba
153e81899
hex2b1e704

45213444 has 48 divisors (see below), whose sum is σ = 119159040. Its totient is φ = 14821920.

The previous prime is 45213437. The next prime is 45213451. The reversal of 45213444 is 44431254.

It is a happy number.

45213444 is a `hidden beast` number, since 4 + 5 + 213 + 444 = 666.

It is an interprime number because it is at equal distance from previous prime (45213437) and next prime (45213451).

It is a super-2 number, since 2×452134442 = 4088511036682272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3157 + ... + 10019.

It is an arithmetic number, because the mean of its divisors is an integer number (2482480).

Almost surely, 245213444 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 45213444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59579520).

45213444 is an abundant number, since it is smaller than the sum of its proper divisors (73945596).

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

45213444 is a wasteful number, since it uses less digits than its factorization.

45213444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6937 (or 6929 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 45213444 is about 6724.0942884525. The cubic root of 45213444 is about 356.2508121865.

Adding to 45213444 its reverse (44431254), we get a palindrome (89644698).

The spelling of 45213444 in words is "forty-five million, two hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 244 366 549 732 1098 1647 2196 3294 6588 6863 13726 20589 27452 41178 61767 82356 123534 185301 247068 370602 418643 741204 837286 1255929 1674572 2511858 3767787 5023716 7535574 11303361 15071148 22606722 45213444