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38640789 = 32112943313
BaseRepresentation
bin1001001101100…
…1110010010101
32200201011012100
42103121302111
534343001124
63500112313
7646304235
oct223316225
980634170
1038640789
111a8a2440
1210b35699
13800bc95
1451bbcc5
1535d41c9
hex24d9c95

38640789 has 48 divisors (see below), whose sum is σ = 64658880. Its totient is φ = 22014720.

The previous prime is 38640769. The next prime is 38640793. The reversal of 38640789 is 98704683.

It is a happy number.

38640789 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38640789 - 212 = 38636693 is a prime.

It is a super-2 number, since 2×386407892 = 2986221149085042, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38640769) 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 47 ways as a sum of consecutive naturals, for example, 123297 + ... + 123609.

It is an arithmetic number, because the mean of its divisors is an integer number (1347060).

Almost surely, 238640789 is an apocalyptic number.

It is an amenable number.

38640789 is a deficient number, since it is larger than the sum of its proper divisors (26018091).

38640789 is a wasteful number, since it uses less digits than its factorization.

38640789 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 38640789 is about 6216.1715709913. The cubic root of 38640789 is about 338.0767685061.

The spelling of 38640789 in words is "thirty-eight million, six hundred forty thousand, seven hundred eighty-nine".

Divisors: 1 3 9 11 29 33 43 87 99 129 261 313 319 387 473 939 957 1247 1419 2817 2871 3443 3741 4257 9077 10329 11223 13459 13717 27231 30987 40377 41151 81693 99847 121131 123453 148049 299541 390311 444147 898623 1170933 1332441 3512799 4293421 12880263 38640789