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42154100 = 22523711393
BaseRepresentation
bin1010000011001…
…1100001110100
32221022122112222
42200303201310
541242412400
64103301512
71021206152
oct240634164
987278488
1042154100
1121881aaa
121214a898
13896c171
1458543d2
153a7a185
hex2833874

42154100 has 36 divisors (see below), whose sum is σ = 93954924. Its totient is φ = 16404480.

The previous prime is 42154087. The next prime is 42154117. The reversal of 42154100 is 145124.

It can be written as a sum of positive squares in 6 ways, for example, as 1882384 + 40271716 = 1372^2 + 6346^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1997 + ... + 9396.

It is an arithmetic number, because the mean of its divisors is an integer number (2609859).

Almost surely, 242154100 is an apocalyptic number.

It is an amenable number.

42154100 is an abundant number, since it is smaller than the sum of its proper divisors (51800824).

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

42154100 is a wasteful number, since it uses less digits than its factorization.

42154100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11444 (or 11437 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 42154100 is about 6492.6188860890. The cubic root of 42154100 is about 348.0272691892.

Adding to 42154100 its reverse (145124), we get a palindrome (42299224).

The spelling of 42154100 in words is "forty-two million, one hundred fifty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 11393 22786 45572 56965 113930 227860 284825 421541 569650 843082 1139300 1686164 2107705 4215410 8430820 10538525 21077050 42154100