Search a number
-
+
45300432 = 24323371109
BaseRepresentation
bin1010110011001…
…1101011010000
310011020111111210
42230303223100
543044103212
64254540120
71060022142
oct254635320
9104214453
1045300432
1123630981
1213207640
1395012b8
146032c92
153e9c53c
hex2b33ad0

45300432 has 80 divisors (see below), whose sum is σ = 125527680. Its totient is φ = 14040576.

The previous prime is 45300421. The next prime is 45300439. The reversal of 45300432 is 23400354.

It is a happy number.

45300432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45300399 and 45300408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45300439) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 40294 + ... + 41402.

It is an arithmetic number, because the mean of its divisors is an integer number (1569096).

Almost surely, 245300432 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 45300432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62763840).

45300432 is an abundant number, since it is smaller than the sum of its proper divisors (80227248).

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

45300432 is a wasteful number, since it uses less digits than its factorization.

45300432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 45300432 is about 6730.5595606903. The cubic root of 45300432 is about 356.4791343411.

Adding to 45300432 its reverse (23400354), we get a palindrome (68700786).

The spelling of 45300432 in words is "forty-five million, three hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 37 46 48 69 74 92 111 138 148 184 222 276 296 368 444 552 592 851 888 1104 1109 1702 1776 2218 2553 3327 3404 4436 5106 6654 6808 8872 10212 13308 13616 17744 20424 25507 26616 40848 41033 51014 53232 76521 82066 102028 123099 153042 164132 204056 246198 306084 328264 408112 492396 612168 656528 943759 984792 1224336 1887518 1969584 2831277 3775036 5662554 7550072 11325108 15100144 22650216 45300432