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38408136 = 23313257479
BaseRepresentation
bin1001001010000…
…0111111001000
32200021100001120
42102200333020
534313030021
63451115240
7644315034
oct222407710
980240046
1038408136
111a753668
1210a42b20
137c5a110
14515b1c4
15358a2c6
hex24a0fc8

38408136 has 64 divisors (see below), whose sum is σ = 104025600. Its totient is φ = 11747328.

The previous prime is 38408131. The next prime is 38408143. The reversal of 38408136 is 63180483.

It is a junction number, because it is equal to n+sod(n) for n = 38408097 and 38408106.

It is not an unprimeable number, because it can be changed into a prime (38408131) 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 15 ways as a sum of consecutive naturals, for example, 79945 + ... + 80423.

It is an arithmetic number, because the mean of its divisors is an integer number (1625400).

Almost surely, 238408136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38408136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52012800).

38408136 is an abundant number, since it is smaller than the sum of its proper divisors (65617464).

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

38408136 is a wasteful number, since it uses less digits than its factorization.

38408136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 38408136 is about 6197.4297898403. The cubic root of 38408136 is about 337.3968914109.

The spelling of 38408136 in words is "thirty-eight million, four hundred eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 257 312 479 514 771 958 1028 1437 1542 1916 2056 2874 3084 3341 3832 5748 6168 6227 6682 10023 11496 12454 13364 18681 20046 24908 26728 37362 40092 49816 74724 80184 123103 149448 246206 369309 492412 738618 984824 1477236 1600339 2954472 3200678 4801017 6401356 9602034 12802712 19204068 38408136