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45101040 = 2435187921
BaseRepresentation
bin1010110000001…
…0111111110000
310010212100222220
42230002333300
543021213130
64250401040
71055231625
oct254027760
9103770886
1045101040
1123505096
1213130180
13946160a
145dc034c
153e5d410
hex2b02ff0

45101040 has 40 divisors (see below), whose sum is σ = 139813968. Its totient is φ = 12026880.

The previous prime is 45101029. The next prime is 45101053. The reversal of 45101040 is 4010154.

45101040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

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 7 ways as a sum of consecutive naturals, for example, 93721 + ... + 94200.

Almost surely, 245101040 is an apocalyptic number.

45101040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45101040 is an abundant number, since it is smaller than the sum of its proper divisors (94712928).

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

45101040 is a wasteful number, since it uses less digits than its factorization.

45101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187937 (or 187931 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 45101040 is about 6715.7307867424. The cubic root of 45101040 is about 355.9553451543.

Adding to 45101040 its reverse (4010154), we get a palindrome (49111194).

The spelling of 45101040 in words is "forty-five million, one hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 187921 375842 563763 751684 939605 1127526 1503368 1879210 2255052 2818815 3006736 3758420 4510104 5637630 7516840 9020208 11275260 15033680 22550520 45101040