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38429490 = 235111011153
BaseRepresentation
bin1001001010011…
…0001100110010
32200022102100110
42102212030302
534314220430
63451402150
7644434221
oct222461462
980272313
1038429490
111a768710
1210a53356
137c66a58
145164cb8
1535917b0
hex24a6332

38429490 has 64 divisors (see below), whose sum is σ = 101699712. Its totient is φ = 9216000.

The previous prime is 38429483. The next prime is 38429497. The reversal of 38429490 is 9492483.

It is an interprime number because it is at equal distance from previous prime (38429483) and next prime (38429497).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (38429497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32754 + ... + 33906.

It is an arithmetic number, because the mean of its divisors is an integer number (1589058).

Almost surely, 238429490 is an apocalyptic number.

38429490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38429490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50849856).

38429490 is an abundant number, since it is smaller than the sum of its proper divisors (63270222).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38429490 is a wasteful number, since it uses less digits than its factorization.

38429490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275.

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 38429490 is about 6199.1523614120. The cubic root of 38429490 is about 337.4594080125.

The spelling of 38429490 in words is "thirty-eight million, four hundred twenty-nine thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 1010 1111 1153 1515 2222 2306 3030 3333 3459 5555 5765 6666 6918 11110 11530 12683 16665 17295 25366 33330 34590 38049 63415 76098 116453 126830 190245 232906 349359 380490 582265 698718 1164530 1280983 1746795 2561966 3493590 3842949 6404915 7685898 12809830 19214745 38429490