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42053025 = 3527211443
BaseRepresentation
bin1010000001101…
…0110110100001
32221010111220110
42200122312201
541231144100
64101201533
71020305400
oct240326641
987114813
1042053025
1121813073
12121002a9
138935161
145829637
153a5a250
hex281ada1

42053025 has 36 divisors (see below), whose sum is σ = 80886192. Its totient is φ = 19222560.

The previous prime is 42052961. The next prime is 42053041. The reversal of 42053025 is 52035024.

It is not a de Polignac number, because 42053025 - 26 = 42052961 is a prime.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42052992 and 42053010.

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 35 ways as a sum of consecutive naturals, for example, 2047 + ... + 9396.

Almost surely, 242053025 is an apocalyptic number.

It is an amenable number.

42053025 is a deficient number, since it is larger than the sum of its proper divisors (38833167).

42053025 is a wasteful number, since it uses less digits than its factorization.

42053025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11470 (or 11458 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 42053025 is about 6484.8303755765. The cubic root of 42053025 is about 347.7488857591.

Adding to 42053025 its reverse (52035024), we get a palindrome (94088049).

The spelling of 42053025 in words is "forty-two million, fifty-three thousand, twenty-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 105 147 175 245 525 735 1225 3675 11443 34329 57215 80101 171645 240303 286075 400505 560707 858225 1201515 1682121 2002525 2803535 6007575 8410605 14017675 42053025