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45863104 = 267234451
BaseRepresentation
bin1010111011110…
…1000011000000
310012022002100111
42232331003000
543220104404
64315001104
71064554450
oct256750300
9105262314
1045863104
11239856a1
1213439194
13966a441
14613bd60
15405e104
hex2bbd0c0

45863104 has 56 divisors (see below), whose sum is σ = 108557568. Its totient is φ = 18796800.

The previous prime is 45863087. The next prime is 45863113. The reversal of 45863104 is 40136854.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8079 + ... + 12529.

It is an arithmetic number, because the mean of its divisors is an integer number (1938528).

Almost surely, 245863104 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 45863104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54278784).

45863104 is an abundant number, since it is smaller than the sum of its proper divisors (62694464).

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

45863104 is a wasteful number, since it uses less digits than its factorization.

45863104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4493 (or 4483 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 45863104 is about 6772.2303563892. The cubic root of 45863104 is about 357.9489955738.

Adding to 45863104 its reverse (40136854), we get a palindrome (85999958).

The spelling of 45863104 in words is "forty-five million, eight hundred sixty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 448 644 736 1288 1472 2576 4451 5152 8902 10304 17804 31157 35608 62314 71216 102373 124628 142432 204746 249256 284864 409492 498512 716611 818984 997024 1433222 1637968 1994048 2866444 3275936 5732888 6551872 11465776 22931552 45863104