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42673825 = 5217314179
BaseRepresentation
bin1010001011001…
…0011010100001
32222022001111001
42202302122201
541411030300
64122352001
71025502325
oct242623241
988261431
1042673825
11220a7527
121235b601
138ac18ac
14594b985
153b2e16a
hex28b26a1

42673825 has 48 divisors (see below), whose sum is σ = 59996160. Its totient is φ = 29952000.

The previous prime is 42673801. The next prime is 42673843. The reversal of 42673825 is 52837624.

It is not a de Polignac number, because 42673825 - 221 = 40576673 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 540136 + ... + 540214.

It is an arithmetic number, because the mean of its divisors is an integer number (1249920).

Almost surely, 242673825 is an apocalyptic number.

It is an amenable number.

42673825 is a deficient number, since it is larger than the sum of its proper divisors (17322335).

42673825 is a wasteful number, since it uses less digits than its factorization.

42673825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 173 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The square root of 42673825 is about 6532.5205701934. The cubic root of 42673825 is about 349.4517266148.

The spelling of 42673825 in words is "forty-two million, six hundred seventy-three thousand, eight hundred twenty-five".

Divisors: 1 5 17 25 31 41 79 85 155 205 395 425 527 697 775 1025 1271 1343 1975 2449 2635 3239 3485 6355 6715 12245 13175 16195 17425 21607 31775 33575 41633 55063 61225 80975 100409 108035 208165 275315 502045 540175 1040825 1376575 1706953 2510225 8534765 42673825