Search a number
-
+
45709104 = 2437294691
BaseRepresentation
bin1010111001011…
…1011100110000
310012000021002210
42232113130300
543200142404
64311412120
71063343460
oct256273460
9105007083
1045709104
112388aa21
1213384040
13961530c
1460dbba0
15402d689
hex2b97730

45709104 has 80 divisors (see below), whose sum is σ = 139633920. Its totient is φ = 12606720.

The previous prime is 45709099. The next prime is 45709127. The reversal of 45709104 is 40190754.

It is a happy number.

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, 7399 + ... + 12089.

It is an arithmetic number, because the mean of its divisors is an integer number (1745424).

Almost surely, 245709104 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 45709104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69816960).

45709104 is an abundant number, since it is smaller than the sum of its proper divisors (93924816).

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

45709104 is a wasteful number, since it uses less digits than its factorization.

45709104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4738 (or 4732 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 45709104 is about 6760.8508340297. The cubic root of 45709104 is about 357.5479036661.

Adding to 45709104 its reverse (40190754), we get a palindrome (85899858).

The spelling of 45709104 in words is "forty-five million, seven hundred nine thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 812 1218 1392 1624 2436 3248 4691 4872 9382 9744 14073 18764 28146 32837 37528 56292 65674 75056 98511 112584 131348 136039 197022 225168 262696 272078 394044 408117 525392 544156 788088 816234 952273 1088312 1576176 1632468 1904546 2176624 2856819 3264936 3809092 5713638 6529872 7618184 11427276 15236368 22854552 45709104