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45054200 = 2352474793
BaseRepresentation
bin1010101111011…
…1100011111000
310010202222202002
42223313203320
543013213300
64245400132
71054645232
oct253674370
9103688662
1045054200
1123482984
1213109048
1394461b9
145dab252
153e4e5d5
hex2af78f8

45054200 has 48 divisors (see below), whose sum is σ = 107002080. Its totient is φ = 17634560.

The previous prime is 45054193. The next prime is 45054221. The reversal of 45054200 is 245054.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7004 + ... + 11796.

It is an arithmetic number, because the mean of its divisors is an integer number (2229210).

Almost surely, 245054200 is an apocalyptic number.

45054200 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 45054200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53501040).

45054200 is an abundant number, since it is smaller than the sum of its proper divisors (61947880).

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

45054200 is a wasteful number, since it uses less digits than its factorization.

45054200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4856 (or 4847 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 45054200 is about 6712.2425462732. The cubic root of 45054200 is about 355.8320758340.

Adding to 45054200 its reverse (245054), we get a palindrome (45299254).

It can be divided in two parts, 45054 and 200, that added together give a palindrome (45254).

The spelling of 45054200 in words is "forty-five million, fifty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 470 940 1175 1880 2350 4700 4793 9400 9586 19172 23965 38344 47930 95860 119825 191720 225271 239650 450542 479300 901084 958600 1126355 1802168 2252710 4505420 5631775 9010840 11263550 22527100 45054200