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45555328 = 277133911
BaseRepresentation
bin1010110111000…
…1111010000000
310011201110011101
42231301322000
543130232303
64304224144
71062133240
oct255617200
9104643141
1045555328
1123795435
121330b054
139590320
14609bb20
153eecd1d
hex2b71e80

45555328 has 64 divisors (see below), whose sum is σ = 111726720. Its totient is φ = 18017280.

The previous prime is 45555313. The next prime is 45555329. The reversal of 45555328 is 82355554.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (45555329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9693 + ... + 13603.

It is an arithmetic number, because the mean of its divisors is an integer number (1745730).

Almost surely, 245555328 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 45555328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55863360).

45555328 is an abundant number, since it is smaller than the sum of its proper divisors (66171392).

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

45555328 is a wasteful number, since it uses less digits than its factorization.

45555328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3945 (or 3933 counting only the distinct ones).

The product of its digits is 120000, while the sum is 37.

The square root of 45555328 is about 6749.4687198327. The cubic root of 45555328 is about 357.1464952315.

The spelling of 45555328 in words is "forty-five million, five hundred fifty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 728 832 896 1456 1664 2912 3911 5824 7822 11648 15644 27377 31288 50843 54754 62576 101686 109508 125152 203372 219016 250304 355901 406744 438032 500608 711802 813488 876064 1423604 1626976 1752128 2847208 3253952 3504256 5694416 6507904 11388832 22777664 45555328