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45443008 = 2613193283
BaseRepresentation
bin1010110101011…
…0011111000000
310011111202002101
42231112133000
543113134013
64302000144
71061154622
oct255263700
9104452071
1045443008
1123719006
1213276054
139551170
14606cc12
153ec98dd
hex2b567c0

45443008 has 56 divisors (see below), whose sum is σ = 97960688. Its totient is φ = 20791296.

The previous prime is 45442973. The next prime is 45443017. The reversal of 45443008 is 80034454.

45443008 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 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 7 ways as a sum of consecutive naturals, for example, 160435 + ... + 160717.

It is an arithmetic number, because the mean of its divisors is an integer number (1749298).

Almost surely, 245443008 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 45443008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48980344).

45443008 is an abundant number, since it is smaller than the sum of its proper divisors (52517680).

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

45443008 is a wasteful number, since it uses less digits than its factorization.

45443008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 45443008 is about 6741.1429298006. The cubic root of 45443008 is about 356.8527300459.

The spelling of 45443008 in words is "forty-five million, four hundred forty-three thousand, eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 193 208 283 386 416 566 772 832 1132 1544 2264 2509 3088 3679 4528 5018 6176 7358 9056 10036 12352 14716 18112 20072 29432 40144 54619 58864 80288 109238 117728 160576 218476 235456 436952 710047 873904 1420094 1747808 2840188 3495616 5680376 11360752 22721504 45443008