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42735693 = 372111319107
BaseRepresentation
bin1010001100000…
…1100001001101
32222102012100110
42203001201031
541420020233
64123550233
71026150600
oct243014115
988365313
1042735693
1122139a60
121238b379
138b13ac0
145966337
153b42663
hex28c184d

42735693 has 96 divisors (see below), whose sum is σ = 82736640. Its totient is φ = 19232640.

The previous prime is 42735691. The next prime is 42735697. The reversal of 42735693 is 39653724.

It is not a de Polignac number, because 42735693 - 21 = 42735691 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42735691) 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, 399346 + ... + 399452.

It is an arithmetic number, because the mean of its divisors is an integer number (861840).

Almost surely, 242735693 is an apocalyptic number.

It is an amenable number.

42735693 is a deficient number, since it is larger than the sum of its proper divisors (40000947).

42735693 is a wasteful number, since it uses less digits than its factorization.

42735693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 160 counting only the distinct ones).

The product of its digits is 136080, while the sum is 39.

The square root of 42735693 is about 6537.2542401225. The cubic root of 42735693 is about 349.6205220434.

The spelling of 42735693 in words is "forty-two million, seven hundred thirty-five thousand, six hundred ninety-three".

Divisors: 1 3 7 11 13 19 21 33 39 49 57 77 91 107 133 143 147 209 231 247 273 321 399 429 539 627 637 741 749 931 1001 1177 1391 1463 1617 1729 1911 2033 2247 2717 2793 3003 3531 4173 4389 5187 5243 6099 7007 8151 8239 9737 10241 12103 14231 15301 15729 19019 21021 22363 24717 26429 29211 30723 36309 42693 45903 57057 57673 67089 68159 79287 99617 107107 133133 156541 173019 185003 204477 290719 298851 321321 399399 469623 555009 749749 872157 1095787 1295021 2035033 2249247 3287361 3885063 6105099 14245231 42735693