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45327744 = 2732721173
BaseRepresentation
bin1010110011101…
…0010110000000
310011021212222100
42230322112000
543100441434
64255310400
71060164600
oct254722600
9104255870
1045327744
112364a450
121321b400
139510867
14603cc00
153ea5699
hex2b3a580

45327744 has 288 divisors, whose sum is σ = 167792040. Its totient is φ = 11612160.

The previous prime is 45327743. The next prime is 45327757. The reversal of 45327744 is 44772354.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×453277442 = 4109208752259072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (94080) is a multiple of the sum of its prime divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 45327699 and 45327708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45327743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 620892 + ... + 620964.

Almost surely, 245327744 is an apocalyptic number.

45327744 is a gapful number since it is divisible by the number (44) 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 45327744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83896020).

45327744 is an abundant number, since it is smaller than the sum of its proper divisors (122464296).

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

45327744 is a wasteful number, since it uses less digits than its factorization.

45327744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 96 counting only the distinct ones).

The product of its digits is 94080, while the sum is 36.

The square root of 45327744 is about 6732.5882095967. The cubic root of 45327744 is about 356.5507613409.

The spelling of 45327744 in words is "forty-five million, three hundred twenty-seven thousand, seven hundred forty-four".