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45231480 = 23335731193
BaseRepresentation
bin1010110010001…
…0110101111000
310011002222221000
42230202311320
543034401410
64253245000
71056314130
oct254426570
9104088830
1045231480
1123594098
1213193760
1394a8ab8
146015ac0
153e86dc0
hex2b22d78

45231480 has 256 divisors, whose sum is σ = 178790400. Its totient is φ = 9953280.

The previous prime is 45231479. The next prime is 45231497. The reversal of 45231480 is 8413254.

45231480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 234264 + ... + 234456.

It is an arithmetic number, because the mean of its divisors is an integer number (698400).

Almost surely, 245231480 is an apocalyptic number.

45231480 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 45231480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89395200).

45231480 is an abundant number, since it is smaller than the sum of its proper divisors (133558920).

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

45231480 is a wasteful number, since it uses less digits than its factorization.

45231480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45231480 is about 6725.4353018968. The cubic root of 45231480 is about 356.2981763102.

The spelling of 45231480 in words is "forty-five million, two hundred thirty-one thousand, four hundred eighty".