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57803928 = 233721319199
BaseRepresentation
bin1101110010000…
…0010010011000
311000202202002020
43130200102120
5104244211203
65422534440
71301216400
oct334402230
9130682066
1057803928
112a6a0a46
1217437420
13bc8b510
147969800
15511c153
hex3720498

57803928 has 192 divisors, whose sum is σ = 191520000. Its totient is φ = 14370048.

The previous prime is 57803917. The next prime is 57803929. The reversal of 57803928 is 82930875.

It is a super-3 number, since 3×578039283 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 57803928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57803929) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290373 + ... + 290571.

It is an arithmetic number, because the mean of its divisors is an integer number (997500).

Almost surely, 257803928 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 57803928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95760000).

57803928 is an abundant number, since it is smaller than the sum of its proper divisors (133716072).

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

57803928 is a wasteful number, since it uses less digits than its factorization.

57803928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 57803928 is about 7602.8894507286. The cubic root of 57803928 is about 386.6509816600.

The spelling of 57803928 in words is "fifty-seven million, eight hundred three thousand, nine hundred twenty-eight".