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45941980 = 22572291433
BaseRepresentation
bin1010111101000…
…0010011011100
310012110002112211
42233100103130
543230120410
64320410204
71065333430
oct257202334
9105402484
1045941980
1123a29987
1213476964
139697306
14615c9c0
15407768a
hex2bd04dc

45941980 has 48 divisors (see below), whose sum is σ = 110819520. Its totient is φ = 15671808.

The previous prime is 45941947. The next prime is 45941993. The reversal of 45941980 is 8914954.

45941980 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 2×459419802 = 4221331052640800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 31344 + ... + 32776.

It is an arithmetic number, because the mean of its divisors is an integer number (2308740).

Almost surely, 245941980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45941980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55409760).

45941980 is an abundant number, since it is smaller than the sum of its proper divisors (64877540).

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

45941980 is a wasteful number, since it uses less digits than its factorization.

45941980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 45941980 is about 6778.0513423845. The cubic root of 45941980 is about 358.1540799260.

The spelling of 45941980 in words is "forty-five million, nine hundred forty-one thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 229 458 916 1145 1433 1603 2290 2866 3206 4580 5732 6412 7165 8015 10031 14330 16030 20062 28660 32060 40124 50155 100310 200620 328157 656314 1312628 1640785 2297099 3281570 4594198 6563140 9188396 11485495 22970990 45941980