Search a number
-
+
45404100 = 22325277207
BaseRepresentation
bin1010110100110…
…0111111000100
310011102202201100
42231030333010
543110412400
64301100100
71060633320
oct255147704
9104382640
1045404100
11236a1855
1213257630
139539541
14605c980
153ebd100
hex2b4cfc4

45404100 has 108 divisors (see below), whose sum is σ = 162670144. Its totient is φ = 10376640.

The previous prime is 45404081. The next prime is 45404101. The reversal of 45404100 is 140454.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (45404101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2697 + ... + 9903.

Almost surely, 245404100 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 45404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81335072).

45404100 is an abundant number, since it is smaller than the sum of its proper divisors (117266044).

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

45404100 is a wasteful number, since it uses less digits than its factorization.

45404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7234 (or 7224 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 45404100 is about 6738.2564510413. The cubic root of 45404100 is about 356.7508559909.

Adding to 45404100 its reverse (140454), we get a palindrome (45544554).

The spelling of 45404100 in words is "forty-five million, four hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 7207 14414 21621 28828 36035 43242 50449 64863 72070 86484 100898 108105 129726 144140 151347 180175 201796 216210 252245 259452 302694 324315 360350 432420 454041 504490 540525 605388 648630 720700 756735 908082 1008980 1081050 1261225 1297260 1513470 1621575 1816164 2162100 2270205 2522450 3026940 3243150 3783675 4540410 5044900 6486300 7567350 9080820 11351025 15134700 22702050 45404100