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57238100 = 2252678543
BaseRepresentation
bin1101101001011…
…0001001010100
310222200222220122
43122112021110
5104123104400
65402451112
71263341633
oct332261124
9128628818
1057238100
112a344917
1217203a98
13bb20aca
14785d51a
155059685
hex3696254

57238100 has 36 divisors (see below), whose sum is σ = 126075264. Its totient is φ = 22550880.

The previous prime is 57238087. The next prime is 57238109. The reversal of 57238100 is 183275.

It is a super-2 number, since 2×572381002 = 6552400183220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57238100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57238109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2429 + ... + 10971.

Almost surely, 257238100 is an apocalyptic number.

57238100 is a gapful number since it is divisible by the number (50) 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 57238100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63037632).

57238100 is an abundant number, since it is smaller than the sum of its proper divisors (68837164).

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

57238100 is a wasteful number, since it uses less digits than its factorization.

57238100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8624 (or 8617 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 57238100 is about 7565.5865602080. The cubic root of 57238100 is about 385.3852331154.

The spelling of 57238100 in words is "fifty-seven million, two hundred thirty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 670 1340 1675 3350 6700 8543 17086 34172 42715 85430 170860 213575 427150 572381 854300 1144762 2289524 2861905 5723810 11447620 14309525 28619050 57238100