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45895050 = 23252791291
BaseRepresentation
bin1010111100010…
…0110110001010
310012100201011200
42233010312022
543222120200
64315405030
71065046545
oct257046612
9105321150
1045895050
11239a76a3
1213453776
13967bb46
14614985c
154068800
hex2bc4d8a

45895050 has 72 divisors (see below), whose sum is σ = 124962240. Its totient is φ = 12074400.

The previous prime is 45895043. The next prime is 45895093. The reversal of 45895050 is 5059854.

It is a happy number.

45895050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×458950502 = 4212711229005000, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45894996 and 45895014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34905 + ... + 36195.

Almost surely, 245895050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45895050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62481120).

45895050 is an abundant number, since it is smaller than the sum of its proper divisors (79067190).

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

45895050 is a wasteful number, since it uses less digits than its factorization.

45895050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 45895050 is about 6774.5885483917. The cubic root of 45895050 is about 358.0320862183.

The spelling of 45895050 in words is "forty-five million, eight hundred ninety-five thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 79 90 150 158 225 237 395 450 474 711 790 1185 1291 1422 1975 2370 2582 3555 3873 3950 5925 6455 7110 7746 11619 11850 12910 17775 19365 23238 32275 35550 38730 58095 64550 96825 101989 116190 193650 203978 290475 305967 509945 580950 611934 917901 1019890 1529835 1835802 2549725 3059670 4589505 5099450 7649175 9179010 15298350 22947525 45895050