Search a number
-
+
45457300 = 2252729277
BaseRepresentation
bin1010110101100…
…1111110010100
310011112110200201
42231121332110
543114113200
64302150244
71061244400
oct255317624
9104473621
1045457300
1123728819
1213282384
139557815
146074100
153ecdc6a
hex2b59f94

45457300 has 54 divisors (see below), whose sum is σ = 114759582. Its totient is φ = 15583680.

The previous prime is 45457273. The next prime is 45457331. The reversal of 45457300 is 375454.

It can be written as a sum of positive squares in 3 ways, for example, as 7683984 + 37773316 = 2772^2 + 6146^2 .

It is a super-2 number, since 2×454573002 = 4132732246580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 262 + ... + 9538.

Almost surely, 245457300 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 45457300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57379791).

45457300 is an abundant number, since it is smaller than the sum of its proper divisors (69302282).

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

45457300 is a wasteful number, since it uses less digits than its factorization.

45457300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9305 (or 9291 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 45457300 is about 6742.2029040960. The cubic root of 45457300 is about 356.8901366413.

The spelling of 45457300 in words is "forty-five million, four hundred fifty-seven thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 9277 18554 37108 46385 64939 92770 129878 185540 231925 259756 324695 454573 463850 649390 909146 927700 1298780 1623475 1818292 2272865 3246950 4545730 6493900 9091460 11364325 22728650 45457300