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57322944 = 263372677
BaseRepresentation
bin1101101010101…
…0110111000000
310222212022022000
43122222313000
5104133313234
65404344000
71264144200
oct332526700
9128768260
1057322944
112a3a2638
1217245000
13bb50603
147882400
155074899
hex36aadc0

57322944 has 168 divisors, whose sum is σ = 196321680. Its totient is φ = 16353792.

The previous prime is 57322933. The next prime is 57322949. The reversal of 57322944 is 44922375.

57322944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 57322899 and 57322908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57322949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84334 + ... + 85010.

Almost surely, 257322944 is an apocalyptic number.

57322944 is a gapful number since it is divisible by the number (54) 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 57322944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98160840).

57322944 is an abundant number, since it is smaller than the sum of its proper divisors (138998736).

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

57322944 is a wasteful number, since it uses less digits than its factorization.

57322944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 689 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 57322944 is about 7571.1917159718. The cubic root of 57322944 is about 385.5755578706.

The spelling of 57322944 in words is "fifty-seven million, three hundred twenty-two thousand, nine hundred forty-four".