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45525000 = 23355607
BaseRepresentation
bin1010110110101…
…0100000001000
310011122220120010
42231222200020
543123300000
64303431520
71061645643
oct255524010
9104586503
1045525000
1123774674
12132b55a0
13957c591
146090a5a
153ee3d50
hex2b6a808

45525000 has 96 divisors (see below), whose sum is σ = 142490880. Its totient is φ = 12120000.

The previous prime is 45524953. The next prime is 45525001. The reversal of 45525000 is 52554.

Adding to 45525000 its reverse (52554), we get a palindrome (45577554).

It is not an unprimeable number, because it can be changed into a prime (45525001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74697 + ... + 75303.

It is an arithmetic number, because the mean of its divisors is an integer number (1484280).

Almost surely, 245525000 is an apocalyptic number.

45525000 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 45525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71245440).

45525000 is an abundant number, since it is smaller than the sum of its proper divisors (96965880).

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

45525000 is an equidigital number, since it uses as much as digits as its factorization.

45525000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 21.

The square root of 45525000 is about 6747.2216504277. The cubic root of 45525000 is about 357.0672220785.

The spelling of 45525000 in words is "forty-five million, five hundred twenty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 607 625 750 1000 1214 1250 1500 1821 1875 2428 2500 3000 3035 3125 3642 3750 4856 5000 6070 6250 7284 7500 9105 9375 12140 12500 14568 15000 15175 18210 18750 24280 25000 30350 36420 37500 45525 60700 72840 75000 75875 91050 121400 151750 182100 227625 303500 364200 379375 455250 607000 758750 910500 1138125 1517500 1821000 1896875 2276250 3035000 3793750 4552500 5690625 7587500 9105000 11381250 15175000 22762500 45525000