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38468808 = 23327127601
BaseRepresentation
bin1001001010111…
…1110011001000
32200101102021200
42102233303020
534322000213
63452304200
7644656650
oct222576310
980342250
1038468808
111a795204
1210a72060
137c7b911
145175360
15359d273
hex24afcc8

38468808 has 96 divisors (see below), whose sum is σ = 120207360. Its totient is φ = 10886400.

The previous prime is 38468803. The next prime is 38468821. The reversal of 38468808 is 80886483.

38468808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (38468803) 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 23 ways as a sum of consecutive naturals, for example, 63708 + ... + 64308.

It is an arithmetic number, because the mean of its divisors is an integer number (1252160).

Almost surely, 238468808 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 38468808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60103680).

38468808 is an abundant number, since it is smaller than the sum of its proper divisors (81738552).

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

38468808 is a wasteful number, since it uses less digits than its factorization.

38468808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 38468808 is about 6202.3227906970. The cubic root of 38468808 is about 337.5744560010.

The spelling of 38468808 in words is "thirty-eight million, four hundred sixty-eight thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 127 168 252 254 381 504 508 601 762 889 1016 1143 1202 1524 1778 1803 2286 2404 2667 3048 3556 3606 4207 4572 4808 5334 5409 7112 7212 8001 8414 9144 10668 10818 12621 14424 16002 16828 21336 21636 25242 32004 33656 37863 43272 50484 64008 75726 76327 100968 151452 152654 228981 302904 305308 457962 534289 610616 686943 915924 1068578 1373886 1602867 1831848 2137156 2747772 3205734 4274312 4808601 5495544 6411468 9617202 12822936 19234404 38468808