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42505155 = 3457112947
BaseRepresentation
bin1010001000100…
…1001111000011
32221222111010000
42202021033003
541340131110
64115011043
71024200510
oct242111703
987874100
1042505155
1121aa1830
1212299a83
138a62ba4
145906307
153ae91c0
hex28893c3

42505155 has 160 divisors (see below), whose sum is σ = 100362240. Its totient is φ = 16692480.

The previous prime is 42505121. The next prime is 42505157. The reversal of 42505155 is 55150524.

42505155 is a `hidden beast` number, since 4 + 2 + 505 + 155 = 666.

It is not a de Polignac number, because 42505155 - 212 = 42501059 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42505157) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 904342 + ... + 904388.

It is an arithmetic number, because the mean of its divisors is an integer number (627264).

Almost surely, 242505155 is an apocalyptic number.

42505155 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42505155 is an abundant number, since it is smaller than the sum of its proper divisors (57857085).

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

42505155 is a wasteful number, since it uses less digits than its factorization.

42505155 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 42505155 is about 6519.5977636661. The cubic root of 42505155 is about 348.9907113780.

Adding to 42505155 its reverse (55150524), we get a palindrome (97655679).

The spelling of 42505155 in words is "forty-two million, five hundred five thousand, one hundred fifty-five".

Divisors: 1 3 5 7 9 11 15 21 27 29 33 35 45 47 55 63 77 81 87 99 105 135 141 145 165 189 203 231 235 261 297 315 319 329 385 405 423 435 495 517 567 609 693 705 783 891 945 957 987 1015 1155 1269 1305 1363 1485 1551 1595 1645 1827 2079 2115 2233 2349 2585 2835 2871 2961 3045 3465 3619 3807 3915 4089 4455 4653 4785 4935 5481 6237 6345 6699 6815 7755 8613 8883 9135 9541 10395 10857 11165 11745 12267 13959 14355 14805 14993 16443 18095 19035 20097 20445 23265 25839 26649 27405 28623 31185 32571 33495 36801 41877 43065 44415 44979 47705 54285 60291 61335 69795 74965 82215 85869 97713 100485 104951 110403 129195 133245 134937 143115 162855 180873 184005 209385 224895 257607 293139 301455 314853 404811 429345 488565 524755 552015 674685 772821 904365 944559 1214433 1288035 1465695 1574265 2024055 2833677 3864105 4722795 6072165 8501031 14168385 42505155