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42412125 = 3537107151
BaseRepresentation
bin1010000111001…
…0100001011101
32221210202111110
42201302201131
541324142000
64113012233
71023332340
oct241624135
987722443
1042412125
1121a38948
1212254079
138a2c742
1458c0457
153acb850
hex287285d

42412125 has 64 divisors (see below), whose sum is σ = 81948672. Its totient is φ = 19080000.

The previous prime is 42412121. The next prime is 42412129. The reversal of 42412125 is 52121424.

It is an interprime number because it is at equal distance from previous prime (42412121) and next prime (42412129).

It is not a de Polignac number, because 42412125 - 22 = 42412121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42412121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 280800 + ... + 280950.

It is an arithmetic number, because the mean of its divisors is an integer number (1280448).

Almost surely, 242412125 is an apocalyptic number.

It is an amenable number.

42412125 is a deficient number, since it is larger than the sum of its proper divisors (39536547).

42412125 is a wasteful number, since it uses less digits than its factorization.

42412125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 273 counting only the distinct ones).

The product of its digits is 640, while the sum is 21.

The square root of 42412125 is about 6512.4592129241. The cubic root of 42412125 is about 348.7359162360.

Adding to 42412125 its reverse (52121424), we get a palindrome (94533549).

The spelling of 42412125 in words is "forty-two million, four hundred twelve thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 107 125 151 175 321 375 453 525 535 749 755 875 1057 1605 2247 2265 2625 2675 3171 3745 3775 5285 8025 11235 11325 13375 15855 16157 18725 18875 26425 40125 48471 56175 56625 79275 80785 93625 113099 132125 242355 280875 339297 396375 403925 565495 1211775 1696485 2019625 2827475 6058875 8482425 14137375 42412125