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42753375 = 325376189
BaseRepresentation
bin1010001100010…
…1110101011111
32222110002121100
42203011311133
541421102000
64124204143
71026253260
oct243056537
988402540
1042753375
1122151275
1212399653
138b1bb72
14596c967
153b47a00
hex28c5d5f

42753375 has 96 divisors (see below), whose sum is σ = 90529920. Its totient is φ = 19008000.

The previous prime is 42753349. The next prime is 42753379. The reversal of 42753375 is 57335724.

It is not a de Polignac number, because 42753375 - 26 = 42753311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42753379) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 480331 + ... + 480419.

It is an arithmetic number, because the mean of its divisors is an integer number (943020).

Almost surely, 242753375 is an apocalyptic number.

42753375 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42753375 is an abundant number, since it is smaller than the sum of its proper divisors (47776545).

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

42753375 is a wasteful number, since it uses less digits than its factorization.

42753375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 165 counting only the distinct ones).

The product of its digits is 88200, while the sum is 36.

The square root of 42753375 is about 6538.6065029179. The cubic root of 42753375 is about 349.6687341836.

The spelling of 42753375 in words is "forty-two million, seven hundred fifty-three thousand, three hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 61 63 75 89 105 125 175 183 225 267 305 315 375 427 445 525 549 623 801 875 915 1125 1281 1335 1525 1575 1869 2135 2225 2625 2745 3115 3843 4005 4575 5429 5607 6405 6675 7625 7875 9345 10675 11125 13725 15575 16287 19215 20025 22875 27145 28035 32025 33375 38003 46725 48861 53375 68625 77875 81435 96075 100125 114009 135725 140175 160125 190015 233625 244305 342027 407175 480375 570045 678625 700875 950075 1221525 1710135 2035875 2850225 4750375 6107625 8550675 14251125 42753375