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53035000 = 235410607
BaseRepresentation
bin1100101001001…
…1111111111000
310200210110100021
43022103333320
5102034110000
65132420224
71212534664
oct312237770
9120713307
1053035000
1127a33a87
1215917674
13acab975
1470878a4
1549c911a
hex3293ff8

53035000 has 40 divisors (see below), whose sum is σ = 124272720. Its totient is φ = 21212000.

The previous prime is 53034983. The next prime is 53035001. The reversal of 53035000 is 53035.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×530350002 = 5625422450000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53035001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 304 + ... + 10303.

It is an arithmetic number, because the mean of its divisors is an integer number (3106818).

Almost surely, 253035000 is an apocalyptic number.

53035000 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 53035000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62136360).

53035000 is an abundant number, since it is smaller than the sum of its proper divisors (71237720).

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

53035000 is a wasteful number, since it uses less digits than its factorization.

53035000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10633 (or 10614 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 16.

The square root of 53035000 is about 7282.5133024252. The cubic root of 53035000 is about 375.7112427630.

Adding to 53035000 its reverse (53035), we get a palindrome (53088035).

53035000 divided by its reverse (53035) gives a cube (1000 = 103).

The spelling of 53035000 in words is "fifty-three million, thirty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 10607 21214 42428 53035 84856 106070 212140 265175 424280 530350 1060700 1325875 2121400 2651750 5303500 6629375 10607000 13258750 26517500 53035000