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45634064 = 247834909
BaseRepresentation
bin1010111000010…
…1001000010000
310011212110011112
42232011020100
543140242224
64310032452
71062611630
oct256051020
9104773145
1045634064
1123839603
1213348728
1395ba108
1460bc6c0
15401630e
hex2b85210

45634064 has 40 divisors (see below), whose sum is σ = 102285120. Its totient is φ = 19317888.

The previous prime is 45634063. The next prime is 45634097. The reversal of 45634064 is 46043654.

It is a self number, because there is not a number n which added to its sum of digits gives 45634064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45634063) 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, 6842 + ... + 11750.

It is an arithmetic number, because the mean of its divisors is an integer number (2557128).

Almost surely, 245634064 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 45634064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51142560).

45634064 is an abundant number, since it is smaller than the sum of its proper divisors (56651056).

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

45634064 is a wasteful number, since it uses less digits than its factorization.

45634064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5007 (or 5001 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 45634064 is about 6755.2989571151. The cubic root of 45634064 is about 357.3521360245.

The spelling of 45634064 in words is "forty-five million, six hundred thirty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 83 112 166 332 581 664 1162 1328 2324 4648 4909 9296 9818 19636 34363 39272 68726 78544 137452 274904 407447 549808 814894 1629788 2852129 3259576 5704258 6519152 11408516 22817032 45634064