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48464100 = 22325253849
BaseRepresentation
bin1011100011100…
…0000011100100
310101012020020200
42320320003210
544401322400
64450430500
71125636516
oct270700344
9111166220
1048464100
11253a1883
1214292430
13a06b2a9
146617bb6
1543c4b00
hex2e380e4

48464100 has 54 divisors (see below), whose sum is σ = 151910850. Its totient is φ = 12923520.

The previous prime is 48464099. The next prime is 48464107. The reversal of 48464100 is 146484.

It can be written as a sum of positive squares in 3 ways, for example, as 16451136 + 32012964 = 4056^2 + 5658^2 .

It is not an unprimeable number, because it can be changed into a prime (48464107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26025 + ... + 27824.

Almost surely, 248464100 is an apocalyptic number.

It is an amenable number.

48464100 is an abundant number, since it is smaller than the sum of its proper divisors (103446750).

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

48464100 is a wasteful number, since it uses less digits than its factorization.

48464100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53869 (or 53859 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 48464100 is about 6961.6161916612. The cubic root of 48464100 is about 364.5916494067.

The spelling of 48464100 in words is "forty-eight million, four hundred sixty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 53849 107698 161547 215396 269245 323094 484641 538490 646188 807735 969282 1076980 1346225 1615470 1938564 2423205 2692450 3230940 4038675 4846410 5384900 8077350 9692820 12116025 16154700 24232050 48464100