Search a number
-
+
45045000 = 23325471113
BaseRepresentation
bin1010101111010…
…1010100001000
310010202112010100
42223311110020
543012420000
64245245400
71054606350
oct253652410
9103675110
1045045000
1123476a80
1213103860
139441c60
145da7b60
153e4ba00
hex2af5508

45045000 has 480 divisors, whose sum is σ = 204684480. Its totient is φ = 8640000.

The previous prime is 45044999. The next prime is 45045001. The reversal of 45045000 is 54054.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45044999) and next prime (45045001).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (45045001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3464994 + ... + 3465006.

It is an arithmetic number, because the mean of its divisors is an integer number (426426).

Almost surely, 245045000 is an apocalyptic number.

45045000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102342240).

45045000 is an abundant number, since it is smaller than the sum of its proper divisors (159639480).

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

45045000 is a wasteful number, since it uses less digits than its factorization.

45045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 45045000 is about 6711.5571963591. The cubic root of 45045000 is about 355.8078540601.

Adding to 45045000 its reverse (54054), we get a palindrome (45099054).

It can be divided in two parts, 450 and 45000, that multiplied together give a square (20250000 = 45002).

The spelling of 45045000 in words is "forty-five million, forty-five thousand".