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57889648 = 2431127919
BaseRepresentation
bin1101110011010…
…1001101110000
311000221002200001
43130311031300
5104304432043
65424435344
71302024325
oct334651560
9130832601
1057889648
112a74a393
1217478b54
13bcbb53b
14798cb4c
15513774d
hex3735370

57889648 has 40 divisors (see below), whose sum is σ = 116817920. Its totient is φ = 27760320.

The previous prime is 57889633. The next prime is 57889651. The reversal of 57889648 is 84698875.

It is a super-2 number, since 2×578896482 = 6702422691127808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62533 + ... + 63451.

It is an arithmetic number, because the mean of its divisors is an integer number (2920448).

Almost surely, 257889648 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 57889648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58408960).

57889648 is an abundant number, since it is smaller than the sum of its proper divisors (58928272).

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

57889648 is a wasteful number, since it uses less digits than its factorization.

57889648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1079 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 55.

The square root of 57889648 is about 7608.5246927377. The cubic root of 57889648 is about 386.8420145381.

The spelling of 57889648 in words is "fifty-seven million, eight hundred eighty-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 31 62 124 127 248 254 496 508 919 1016 1838 2032 3676 3937 7352 7874 14704 15748 28489 31496 56978 62992 113956 116713 227912 233426 455824 466852 933704 1867408 3618103 7236206 14472412 28944824 57889648