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45995000 = 23549199
BaseRepresentation
bin1010111101110…
…1001111111000
310012112210021112
42233131033320
543233320000
64321455452
71065644132
oct257351770
9105483245
1045995000
1123a657a7
12134a1588
1396b549c
146174052
154088235
hex2bdd3f8

45995000 has 40 divisors (see below), whose sum is σ = 107778000. Its totient is φ = 18396000.

The previous prime is 45994981. The next prime is 45995011. The reversal of 45995000 is 59954.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 401 + ... + 9599.

It is an arithmetic number, because the mean of its divisors is an integer number (2694450).

Almost surely, 245995000 is an apocalyptic number.

45995000 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 45995000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53889000).

45995000 is an abundant number, since it is smaller than the sum of its proper divisors (61783000).

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

45995000 is an equidigital number, since it uses as much as digits as its factorization.

45995000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9225 (or 9206 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 32.

The square root of 45995000 is about 6781.9613682179. The cubic root of 45995000 is about 358.2918045737.

It can be divided in two parts, 459 and 95000, that added together give a palindrome (95459).

The spelling of 45995000 in words is "forty-five million, nine hundred ninety-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 9199 18398 36796 45995 73592 91990 183980 229975 367960 459950 919900 1149875 1839800 2299750 4599500 5749375 9199000 11498750 22997500 45995000