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40735023 = 373311277
BaseRepresentation
bin1001101101100…
…1000100101111
32211122112221120
42123121010233
540412010043
64013032023
71003146000
oct233310457
984575846
1040735023
1120aa290a
1211785613
138593284
1455a51a7
153899983
hex26d912f

40735023 has 32 divisors (see below), whose sum is σ = 65433600. Its totient is φ = 22508640.

The previous prime is 40735003. The next prime is 40735067. The reversal of 40735023 is 32053704.

40735023 is nontrivially palindromic in base 15.

It is not a de Polignac number, because 40735023 - 26 = 40734959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40734984 and 40735002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40735003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31261 + ... + 32537.

It is an arithmetic number, because the mean of its divisors is an integer number (2044800).

Almost surely, 240735023 is an apocalyptic number.

40735023 is a deficient number, since it is larger than the sum of its proper divisors (24698577).

40735023 is a wasteful number, since it uses less digits than its factorization.

40735023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 40735023 is about 6382.3994704186. The cubic root of 40735023 is about 344.0772738564.

Adding to 40735023 its reverse (32053704), we get a palindrome (72788727).

The spelling of 40735023 in words is "forty million, seven hundred thirty-five thousand, twenty-three".

Divisors: 1 3 7 21 31 49 93 147 217 343 651 1029 1277 1519 3831 4557 8939 10633 26817 31899 39587 62573 118761 187719 277109 438011 831327 1314033 1939763 5819289 13578341 40735023