Search a number
-
+
45914300 = 2252479769
BaseRepresentation
bin1010111100100…
…1100010111100
310012101200120122
42233021202330
543223224200
64320034112
71065156635
oct257114274
9105350518
1045914300
1123a10103
1213462938
139687833
14615288c
15406e385
hex2bc98bc

45914300 has 36 divisors (see below), whose sum is σ = 101764320. Its totient is φ = 17973120.

The previous prime is 45914293. The next prime is 45914311. The reversal of 45914300 is 341954.

It is a self number, because there is not a number n which added to its sum of digits gives 45914300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185 + ... + 9584.

Almost surely, 245914300 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 45914300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50882160).

45914300 is an abundant number, since it is smaller than the sum of its proper divisors (55850020).

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

45914300 is a wasteful number, since it uses less digits than its factorization.

45914300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9830 (or 9823 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 45914300 is about 6776.0091499348. The cubic root of 45914300 is about 358.0821363093.

The spelling of 45914300 in words is "forty-five million, nine hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 2350 4700 9769 19538 39076 48845 97690 195380 244225 459143 488450 918286 976900 1836572 2295715 4591430 9182860 11478575 22957150 45914300