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45296592 = 243113709
BaseRepresentation
bin1010110011001…
…0101111010000
310011020022020120
42230302233100
543043442332
64254510240
71060005015
oct254625720
9104208216
1045296592
1123629000
1213205380
1394cc623
14603170c
153e9b32c
hex2b32bd0

45296592 has 80 divisors (see below), whose sum is σ = 128890560. Its totient is φ = 13706880.

The previous prime is 45296569. The next prime is 45296597. The reversal of 45296592 is 29569254.

45296592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45296597) 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 15 ways as a sum of consecutive naturals, for example, 63534 + ... + 64242.

It is an arithmetic number, because the mean of its divisors is an integer number (1611132).

Almost surely, 245296592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45296592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64445280).

45296592 is an abundant number, since it is smaller than the sum of its proper divisors (83593968).

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

45296592 is a wasteful number, since it uses less digits than its factorization.

45296592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 725 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The square root of 45296592 is about 6730.2742886156. The cubic root of 45296592 is about 356.4690614529.

The spelling of 45296592 in words is "forty-five million, two hundred ninety-six thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 709 726 968 1331 1418 1452 1936 2127 2662 2836 2904 3993 4254 5324 5672 5808 7799 7986 8508 10648 11344 15598 15972 17016 21296 23397 31196 31944 34032 46794 62392 63888 85789 93588 124784 171578 187176 257367 343156 374352 514734 686312 943679 1029468 1372624 1887358 2058936 2831037 3774716 4117872 5662074 7549432 11324148 15098864 22648296 45296592