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57316644 = 2232711232931
BaseRepresentation
bin1101101010100…
…1010100100100
310222211222122200
43122221110210
5104133113034
65404254500
71264116630
oct332512444
9128758580
1057316644
112a398930
1217241430
13bb4a798
14787ddc0
155072a99
hex36a9524

57316644 has 288 divisors, whose sum is σ = 201277440. Its totient is φ = 13305600.

The previous prime is 57316631. The next prime is 57316657. The reversal of 57316644 is 44661375.

It is a happy number.

57316644 is a `hidden beast` number, since 5 + 7 + 3 + 1 + 6 + 644 = 666.

It is an interprime number because it is at equal distance from previous prime (57316631) and next prime (57316657).

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 = 57316599 and 57316608.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1848909 + ... + 1848939.

It is an arithmetic number, because the mean of its divisors is an integer number (698880).

Almost surely, 257316644 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 57316644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100638720).

57316644 is an abundant number, since it is smaller than the sum of its proper divisors (143960796).

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

57316644 is a wasteful number, since it uses less digits than its factorization.

57316644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 106 counting only the distinct ones).

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

The square root of 57316644 is about 7570.7756537887. The cubic root of 57316644 is about 385.5614319678.

The spelling of 57316644 in words is "fifty-seven million, three hundred sixteen thousand, six hundred forty-four".