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145542033 = 327131947199
BaseRepresentation
bin10001010110011…
…00101110010001
3101010212022010200
420223030232101
5244224321113
622235245413
73415041540
oct1053145621
9333768120
10145542033
117517797a
12408a9869
13241caa60
1415488157
15cb9d873
hex8accb91

145542033 has 96 divisors (see below), whose sum is σ = 279552000. Its totient is φ = 70823808.

The previous prime is 145542031. The next prime is 145542041. The reversal of 145542033 is 330245541.

145542033 is a `hidden beast` number, since 1 + 455 + 4 + 203 + 3 = 666.

It is not a de Polignac number, because 145542033 - 21 = 145542031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 145541988 and 145542006.

It is not an unprimeable number, because it can be changed into a prime (145542031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 731268 + ... + 731466.

It is an arithmetic number, because the mean of its divisors is an integer number (2912000).

Almost surely, 2145542033 is an apocalyptic number.

145542033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

145542033 is a deficient number, since it is larger than the sum of its proper divisors (134009967).

145542033 is a wasteful number, since it uses less digits than its factorization.

145542033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 145542033 is about 12064.0802799053. The cubic root of 145542033 is about 526.0125980684.

Adding to 145542033 its reverse (330245541), we get a palindrome (475787574).

The spelling of 145542033 in words is "one hundred forty-five million, five hundred forty-two thousand, thirty-three".

Divisors: 1 3 7 9 13 19 21 39 47 57 63 91 117 133 141 171 199 247 273 329 399 423 597 611 741 819 893 987 1197 1393 1729 1791 1833 2223 2587 2679 2961 3781 4179 4277 5187 5499 6251 7761 8037 9353 11343 11609 12537 12831 15561 18109 18753 23283 26467 28059 34029 34827 38493 49153 54327 56259 65471 79401 81263 84177 104481 121589 147459 162981 177707 196413 238203 243789 344071 364767 442377 533121 589239 731367 851123 1032213 1094301 1243949 1599363 2310191 2553369 3096639 3731847 6930573 7660107 11195541 16171337 20791719 48514011 145542033