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42457152825 = 325231137157283
BaseRepresentation
bin100111100010101001…
…001011110100111001
311001120220121211111200
4213202221023310321
51143423012342300
631300552044413
73032061562443
oct474251136471
9131526554450
1042457152825
1117007a5735a
12828a993709
13400815c249
1420aaa67493
15118759c200
hex9e2a4bd39

42457152825 has 144 divisors (see below), whose sum is σ = 79856365056. Its totient is φ = 21538483200.

The previous prime is 42457152811. The next prime is 42457152827. The reversal of 42457152825 is 52825175424.

42457152825 is a `hidden beast` number, since 4 + 2 + 4 + 571 + 52 + 8 + 25 = 666.

It is not a de Polignac number, because 42457152825 - 29 = 42457152313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (42457152827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 150025134 + ... + 150025416.

Almost surely, 242457152825 is an apocalyptic number.

42457152825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42457152825 is a deficient number, since it is larger than the sum of its proper divisors (37399212231).

42457152825 is a wasteful number, since it uses less digits than its factorization.

42457152825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 616 counting only the distinct ones).

The product of its digits is 896000, while the sum is 45.

The spelling of 42457152825 in words is "forty-two billion, four hundred fifty-seven million, one hundred fifty-two thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 137 155 157 225 279 283 411 465 471 685 775 785 849 1233 1395 1413 1415 2055 2325 2355 2547 3425 3925 4245 4247 4867 6165 6975 7065 7075 8773 10275 11775 12735 12741 14601 21225 21235 21509 24335 26319 30825 35325 38223 38771 43803 43865 44431 63675 63705 64527 73005 78957 106175 107545 116313 121675 131595 133293 191115 193581 193855 219015 219325 222155 318525 322635 348939 365025 394785 399879 537725 581565 657975 666465 666779 955575 967905 969275 1095075 1110775 1201901 1377361 1613175 1744695 1973925 1999395 2000337 2907825 3332325 3333895 3605703 4132083 4839525 6001011 6009505 6087047 6886805 8723475 9996975 10001685 10817109 12396249 16669475 18028515 18261141 20660415 30005055 30047525 30435235 34434025 50008425 54085545 54783423 61981245 90142575 91305705 103302075 150025275 152176175 188698457 270427725 273917115 309906225 456528525 566095371 943492285 1369585575 1698286113 2830476855 4717461425 8491430565 14152384275 42457152825