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45391808 = 2671161151
BaseRepresentation
bin1010110100100…
…1111111000000
310011102010212002
42231021333000
543110014213
64300523132
71060552430
oct255117700
9104363762
1045391808
11236935a0
12132504a8
139533a77
1460582c0
153eb9658
hex2b49fc0

45391808 has 112 divisors (see below), whose sum is σ = 114897408. Its totient is φ = 17280000.

The previous prime is 45391783. The next prime is 45391813. The reversal of 45391808 is 80819354.

45391808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 300533 + ... + 300683.

Almost surely, 245391808 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 45391808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57448704).

45391808 is an abundant number, since it is smaller than the sum of its proper divisors (69505600).

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

45391808 is a wasteful number, since it uses less digits than its factorization.

45391808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 45391808 is about 6737.3442839148. The cubic root of 45391808 is about 356.7186593589.

The spelling of 45391808 in words is "forty-five million, three hundred ninety-one thousand, eight hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 61 64 77 88 112 122 151 154 176 224 244 302 308 352 427 448 488 604 616 671 704 854 976 1057 1208 1232 1342 1661 1708 1952 2114 2416 2464 2684 3322 3416 3904 4228 4697 4832 4928 5368 6644 6832 8456 9211 9394 9664 10736 11627 13288 13664 16912 18422 18788 21472 23254 26576 27328 33824 36844 37576 42944 46508 53152 64477 67648 73688 75152 93016 101321 106304 128954 147376 150304 186032 202642 257908 294752 300608 372064 405284 515816 589504 709247 744128 810568 1031632 1418494 1621136 2063264 2836988 3242272 4126528 5673976 6484544 11347952 22695904 45391808