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57487144 = 231113311621
BaseRepresentation
bin1101101101001…
…0111100101000
311000011122112111
43123102330220
5104204042034
65412052104
71265430001
oct333227450
9130148474
1057487144
112a4a4a40
1217304034
13bbaa280
1478c61a8
1550a8364
hex36d2f28

57487144 has 64 divisors (see below), whose sum is σ = 130798080. Its totient is φ = 23328000.

The previous prime is 57487121. The next prime is 57487163. The reversal of 57487144 is 44178475.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 57487097 and 57487106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34654 + ... + 36274.

It is an arithmetic number, because the mean of its divisors is an integer number (2043720).

Almost surely, 257487144 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 57487144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65399040).

57487144 is an abundant number, since it is smaller than the sum of its proper divisors (73310936).

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

57487144 is a wasteful number, since it uses less digits than its factorization.

57487144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1678 counting only the distinct ones).

The product of its digits is 125440, while the sum is 40.

The square root of 57487144 is about 7582.0276971269. The cubic root of 57487144 is about 385.9433637720.

The spelling of 57487144 in words is "fifty-seven million, four hundred eighty-seven thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 22 26 31 44 52 62 88 104 124 143 248 286 341 403 572 682 806 1144 1364 1612 1621 2728 3224 3242 4433 6484 8866 12968 17732 17831 21073 35464 35662 42146 50251 71324 84292 100502 142648 168584 201004 231803 402008 463606 552761 653263 927212 1105522 1306526 1854424 2211044 2613052 4422088 5226104 7185893 14371786 28743572 57487144