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45463456 = 2523223277
BaseRepresentation
bin1010110101101…
…1011110100000
310011112210010201
42231123132200
543114312311
64302234544
71061301343
oct255333640
9104483121
1045463456
1123732405
1213285a54
13955a56c
14607645a
153ed09c1
hex2b5b7a0

45463456 has 48 divisors (see below), whose sum is σ = 94155264. Its totient is φ = 21567744.

The previous prime is 45463381. The next prime is 45463459. The reversal of 45463456 is 65436454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45463459) 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, 163990 + ... + 164266.

It is an arithmetic number, because the mean of its divisors is an integer number (1961568).

Almost surely, 245463456 is an apocalyptic number.

45463456 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45463456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47077632).

45463456 is an abundant number, since it is smaller than the sum of its proper divisors (48691808).

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

45463456 is a wasteful number, since it uses less digits than its factorization.

45463456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 525 counting only the distinct ones).

The product of its digits is 172800, while the sum is 37.

The square root of 45463456 is about 6742.6594159871. The cubic root of 45463456 is about 356.9062463862.

The spelling of 45463456 in words is "forty-five million, four hundred sixty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 46 92 184 223 277 368 446 554 736 892 1108 1784 2216 3568 4432 5129 6371 7136 8864 10258 12742 20516 25484 41032 50968 61771 82064 101936 123542 164128 203872 247084 494168 988336 1420733 1976672 2841466 5682932 11365864 22731728 45463456