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42472269 = 36722941
BaseRepresentation
bin1010001000000…
…1001101001101
32221220211000000
42202001031031
541333103034
64114154513
71024002600
oct242011515
987824000
1042472269
1121a7a054
1212282a39
138a50c28
1458d8337
153ade599
hex288134d

42472269 has 84 divisors (see below), whose sum is σ = 78499260. Its totient is φ = 22861440.

The previous prime is 42472267. The next prime is 42472279. The reversal of 42472269 is 96227424.

42472269 is a `hidden beast` number, since 424 + 7 + 226 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10323369 + 32148900 = 3213^2 + 5670^2 .

It is not a de Polignac number, because 42472269 - 21 = 42472267 is a prime.

It is a super-2 number, since 2×424722692 = 3607787268016722, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42472267) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1035889 + ... + 1035929.

It is an arithmetic number, because the mean of its divisors is an integer number (934515).

Almost surely, 242472269 is an apocalyptic number.

42472269 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

42472269 is a deficient number, since it is larger than the sum of its proper divisors (36026991).

42472269 is an equidigital number, since it uses as much as digits as its factorization.

42472269 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 80 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 42472269 is about 6517.0751875362. The cubic root of 42472269 is about 348.9006841042.

The spelling of 42472269 in words is "forty-two million, four hundred seventy-two thousand, two hundred sixty-nine".

Divisors: 1 3 7 9 21 27 29 41 49 63 81 87 123 147 189 203 243 261 287 369 441 567 609 729 783 861 1107 1189 1323 1421 1701 1827 2009 2349 2583 3321 3567 3969 4263 5103 5481 6027 7047 7749 8323 9963 10701 11907 12789 16443 18081 21141 23247 24969 29889 32103 35721 38367 49329 54243 58261 69741 74907 96309 115101 147987 162729 174783 209223 224721 288927 345303 488187 524349 674163 866781 1035909 1464561 1573047 2022489 4719141 6067467 14157423 42472269