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45384570 = 23357113759
BaseRepresentation
bin1010110100100…
…0001101111010
310011101202221000
42231020031322
543104301240
64300425430
71060522350
oct255101572
9104352830
1045384570
1123689110
1213248276
13953069a
1460557d0
153eb7430
hex2b4837a

45384570 has 256 divisors, whose sum is σ = 157593600. Its totient is φ = 9020160.

The previous prime is 45384553. The next prime is 45384583. The reversal of 45384570 is 7548354.

45384570 is a `hidden beast` number, since 4 + 5 + 3 + 84 + 570 = 666.

45384570 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 769201 + ... + 769259.

It is an arithmetic number, because the mean of its divisors is an integer number (615600).

Almost surely, 245384570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45384570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78796800).

45384570 is an abundant number, since it is smaller than the sum of its proper divisors (112209030).

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

45384570 is a wasteful number, since it uses less digits than its factorization.

45384570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 45384570 is about 6736.8071072282. The cubic root of 45384570 is about 356.6996980307.

It can be divided in two parts, 45384 and 570, that added together give a palindrome (45954).

The spelling of 45384570 in words is "forty-five million, three hundred eighty-four thousand, five hundred seventy".