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57989984 = 2513210723
BaseRepresentation
bin1101110100110…
…1101101100000
311001010012022012
43131031231200
5104321134414
65430532052
71302623003
oct335155540
9131105265
1057989984
112a808808
1217507028
13c025100
1479b753a
15515733e
hex374db60

57989984 has 36 divisors (see below), whose sum is σ = 123636996. Its totient is φ = 26762112.

The previous prime is 57989983. The next prime is 57990007. The reversal of 57989984 is 48998975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57989983) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47 + ... + 10769.

It is an arithmetic number, because the mean of its divisors is an integer number (3434361).

Almost surely, 257989984 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 57989984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61818498).

57989984 is an abundant number, since it is smaller than the sum of its proper divisors (65647012).

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

57989984 is a wasteful number, since it uses less digits than its factorization.

57989984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10759 (or 10738 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 59.

The square root of 57989984 is about 7615.1154948563. The cubic root of 57989984 is about 387.0653807683.

The spelling of 57989984 in words is "fifty-seven million, nine hundred eighty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2704 5408 10723 21446 42892 85784 139399 171568 278798 343136 557596 1115192 1812187 2230384 3624374 4460768 7248748 14497496 28994992 57989984