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57606016 = 271322663
BaseRepresentation
bin1101101110111…
…1111110000000
311000101200121011
43123233332000
5104221343031
65414410304
71266433366
oct333577600
9130350534
1057606016
112a576286
1217360994
13bc1c400
147917636
1550cd6b1
hex36eff80

57606016 has 48 divisors (see below), whose sum is σ = 124315560. Its totient is φ = 26577408.

The previous prime is 57606011. The next prime is 57606041. The reversal of 57606016 is 61060675.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57606011) 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, 20301 + ... + 22963.

Almost surely, 257606016 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 57606016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62157780).

57606016 is an abundant number, since it is smaller than the sum of its proper divisors (66709544).

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

57606016 is a wasteful number, since it uses less digits than its factorization.

57606016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 57606016 is about 7589.8627128559. The cubic root of 57606016 is about 386.2091987078.

The spelling of 57606016 in words is "fifty-seven million, six hundred six thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 338 416 676 832 1352 1664 2663 2704 5326 5408 10652 10816 21304 21632 34619 42608 69238 85216 138476 170432 276952 340864 450047 553904 900094 1107808 1800188 2215616 3600376 4431232 7200752 14401504 28803008 57606016