Search a number
-
+
45732316 = 22719314759
BaseRepresentation
bin1010111001110…
…1000111011100
310012001102221111
42232131013130
543201413231
64312111404
71063501240
oct256350734
9105042844
1045732316
11238a6403
1213395564
139622a56
146106420
1540354b1
hex2b9d1dc

45732316 has 96 divisors (see below), whose sum is σ = 103219200. Its totient is φ = 17288640.

The previous prime is 45732293. The next prime is 45732341. The reversal of 45732316 is 61323754.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 775095 + ... + 775153.

It is an arithmetic number, because the mean of its divisors is an integer number (1075200).

Almost surely, 245732316 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 45732316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51609600).

45732316 is an abundant number, since it is smaller than the sum of its proper divisors (57486884).

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

45732316 is a wasteful number, since it uses less digits than its factorization.

45732316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 165 counting only the distinct ones).

The product of its digits is 15120, while the sum is 31.

The square root of 45732316 is about 6762.5672639908. The cubic root of 45732316 is about 357.6084167568.

It can be divided in two parts, 4573 and 2316, that added together give a square (6889 = 832).

The spelling of 45732316 in words is "forty-five million, seven hundred thirty-two thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 19 28 31 38 47 59 62 76 94 118 124 133 188 217 236 266 329 413 434 532 589 658 826 868 893 1121 1178 1316 1457 1652 1786 1829 2242 2356 2773 2914 3572 3658 4123 4484 5546 5828 6251 7316 7847 8246 10199 11092 12502 12803 15694 16492 19411 20398 25004 25606 27683 31388 34751 38822 40796 51212 52687 55366 69502 77644 85963 105374 110732 139004 171926 193781 210748 243257 343852 368809 387562 486514 601741 737618 775124 973028 1203482 1475236 1633297 2406964 3266594 6533188 11433079 22866158 45732316