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57563064 = 23321389691
BaseRepresentation
bin1101101110010…
…1011110111000
311000022111200100
43123211132320
5104214004224
65413435400
71266164226
oct333453670
9130274610
1057563064
112a546a89
121733bb60
13bc059b0
147905b16
1550c0ac9
hex36e57b8

57563064 has 96 divisors (see below), whose sum is σ = 170024400. Its totient is φ = 17487360.

The previous prime is 57563059. The next prime is 57563087. The reversal of 57563064 is 46036575.

57563064 = 1223 + 1233 + ... + 1453.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82959 + ... + 83649.

Almost surely, 257563064 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 57563064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85012200).

57563064 is an abundant number, since it is smaller than the sum of its proper divisors (112461336).

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

57563064 is a wasteful number, since it uses less digits than its factorization.

57563064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 57563064 is about 7587.0326215194. The cubic root of 57563064 is about 386.1131868487.

The spelling of 57563064 in words is "fifty-seven million, five hundred sixty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 89 104 117 156 178 234 267 312 356 468 534 691 712 801 936 1068 1157 1382 1602 2073 2136 2314 2764 3204 3471 4146 4628 5528 6219 6408 6942 8292 8983 9256 10413 12438 13884 16584 17966 20826 24876 26949 27768 35932 41652 49752 53898 61499 71864 80847 83304 107796 122998 161694 184497 215592 245996 323388 368994 491992 553491 646776 737988 799487 1106982 1475976 1598974 2213964 2398461 3197948 4427928 4796922 6395896 7195383 9593844 14390766 19187688 28781532 57563064