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57435030 = 23251494283
BaseRepresentation
bin1101101100011…
…0001110010110
311000002000001100
43123012032112
5104200410110
65411010530
71265122032
oct333061626
9130060040
1057435030
112a469874
1217299a46
13bb8c633
1478b11c2
155097bc0
hex36c6396

57435030 has 48 divisors (see below), whose sum is σ = 150368400. Its totient is φ = 15209664.

The previous prime is 57435029. The next prime is 57435041. The reversal of 57435030 is 3053475.

It is a happy number.

It is a super-2 number, since 2×574350302 = 6597565342201800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57434985 and 57435003.

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, 11269 + ... + 15551.

It is an arithmetic number, because the mean of its divisors is an integer number (3132675).

Almost surely, 257435030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57435030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75184200).

57435030 is an abundant number, since it is smaller than the sum of its proper divisors (92933370).

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

57435030 is a wasteful number, since it uses less digits than its factorization.

57435030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4445 (or 4442 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 57435030 is about 7578.5902382963. The cubic root of 57435030 is about 385.8267050327.

The spelling of 57435030 in words is "fifty-seven million, four hundred thirty-five thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 149 298 447 745 894 1341 1490 2235 2682 4283 4470 6705 8566 12849 13410 21415 25698 38547 42830 64245 77094 128490 192735 385470 638167 1276334 1914501 3190835 3829002 5743503 6381670 9572505 11487006 19145010 28717515 57435030