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45068640 = 253593893
BaseRepresentation
bin1010101111101…
…1000101100000
310010210201112220
42223323011200
543014144030
64245551040
71055035311
oct253730540
9103721486
1045068640
1123492811
1213115480
13944c946
145db2608
153e53a10
hex2afb160

45068640 has 48 divisors (see below), whose sum is σ = 141967728. Its totient is φ = 12018176.

The previous prime is 45068633. The next prime is 45068641. The reversal of 45068640 is 4686054.

It is a happy number.

45068640 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 (48).

It is a super-2 number, since 2×450686402 = 4062364622899200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45068641) by changing a digit.

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, 46467 + ... + 47426.

It is an arithmetic number, because the mean of its divisors is an integer number (2957661).

Almost surely, 245068640 is an apocalyptic number.

45068640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45068640 is an abundant number, since it is smaller than the sum of its proper divisors (96899088).

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

45068640 is a wasteful number, since it uses less digits than its factorization.

45068640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93911 (or 93903 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 45068640 is about 6713.3181065700. The cubic root of 45068640 is about 355.8700868396.

The spelling of 45068640 in words is "forty-five million, sixty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 93893 187786 281679 375572 469465 563358 751144 938930 1126716 1408395 1502288 1877860 2253432 2816790 3004576 3755720 4506864 5633580 7511440 9013728 11267160 15022880 22534320 45068640