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45000450 = 23252119091
BaseRepresentation
bin1010101110101…
…0011100000010
310010200021000100
42223222130002
543010003300
64244303230
71054332435
oct253523402
9103607010
1045000450
1123446560
12130a1b16
1394278b1
145d9581c
153e3d700
hex2aea702

45000450 has 72 divisors (see below), whose sum is σ = 131906736. Its totient is φ = 10908000.

The previous prime is 45000419. The next prime is 45000451. The reversal of 45000450 is 5400054.

It is a happy number.

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 (45000451) 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, 405 + ... + 9495.

It is an arithmetic number, because the mean of its divisors is an integer number (1832038).

Almost surely, 245000450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45000450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65953368).

45000450 is an abundant number, since it is smaller than the sum of its proper divisors (86906286).

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

45000450 is a wasteful number, since it uses less digits than its factorization.

45000450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9120 (or 9112 counting only the distinct ones).

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

The square root of 45000450 is about 6708.2374734352. The cubic root of 45000450 is about 355.6905160762.

It can be divided in two parts, 450004 and 50, that added together give a palindrome (450054).

The spelling of 45000450 in words is "forty-five million, four hundred fifty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1650 2475 4950 9091 18182 27273 45455 54546 81819 90910 100001 136365 163638 200002 227275 272730 300003 409095 454550 500005 600006 681825 818190 900009 1000010 1363650 1500015 1800018 2045475 2500025 3000030 4090950 4500045 5000050 7500075 9000090 15000150 22500225 45000450