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54648000 = 2633531123
BaseRepresentation
bin1101000001110…
…1110011000000
310210211101222000
43100131303000
5102442214000
65231144000
71232333421
oct320356300
9123741860
1054648000
1128935940
1216375000
13b424bc4
147387648
154be7000
hex341dcc0

54648000 has 448 divisors, whose sum is σ = 228234240. Its totient is φ = 12672000.

The previous prime is 54647993. The next prime is 54648007. The reversal of 54648000 is 84645.

It is an interprime number because it is at equal distance from previous prime (54647993) and next prime (54648007).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (54648007) 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 63 ways as a sum of consecutive naturals, for example, 2375989 + ... + 2376011.

Almost surely, 254648000 is an apocalyptic number.

54648000 is a gapful number since it is divisible by the number (50) 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 54648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114117120).

54648000 is an abundant number, since it is smaller than the sum of its proper divisors (173586240).

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

54648000 is a wasteful number, since it uses less digits than its factorization.

54648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 54648000 is about 7392.4285590055. The cubic root of 54648000 is about 379.4822126050.

The spelling of 54648000 in words is "fifty-four million, six hundred forty-eight thousand".