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57505896 = 2333773521
BaseRepresentation
bin1101101101011…
…1100001101000
311000012121021000
43123113201220
5104210142041
65412315000
71265535450
oct333274150
9130177230
1057505896
112a508038
1217312a60
13bbb5976
1478ccd60
1550adbb6
hex36d7868

57505896 has 128 divisors (see below), whose sum is σ = 185414400. Its totient is φ = 16174080.

The previous prime is 57505879. The next prime is 57505897. The reversal of 57505896 is 69850575.

57505896 is a `hidden beast` number, since 57 + 505 + 8 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (57505897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110116 + ... + 110636.

It is an arithmetic number, because the mean of its divisors is an integer number (1448550).

Almost surely, 257505896 is an apocalyptic number.

57505896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57505896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92707200).

57505896 is an abundant number, since it is smaller than the sum of its proper divisors (127908504).

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

57505896 is a wasteful number, since it uses less digits than its factorization.

57505896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 57505896 is about 7583.2642048131. The cubic root of 57505896 is about 385.9853234328.

The spelling of 57505896 in words is "fifty-seven million, five hundred five thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 73 84 108 126 146 168 189 216 219 252 292 378 438 504 511 521 584 657 756 876 1022 1042 1314 1512 1533 1563 1752 1971 2044 2084 2628 3066 3126 3647 3942 4088 4168 4599 4689 5256 6132 6252 7294 7884 9198 9378 10941 12264 12504 13797 14067 14588 15768 18396 18756 21882 27594 28134 29176 32823 36792 37512 38033 43764 55188 56268 65646 76066 87528 98469 110376 112536 114099 131292 152132 196938 228198 262584 266231 304264 342297 393876 456396 532462 684594 787752 798693 912792 1026891 1064924 1369188 1597386 2053782 2129848 2396079 2738376 3194772 4107564 4792158 6389544 7188237 8215128 9584316 14376474 19168632 28752948 57505896