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38642808 = 23319831021
BaseRepresentation
bin1001001101101…
…0010001111000
32200201020222010
42103122101320
534343032213
63500125520
7646313151
oct223322170
980636863
1038642808
111a8a3a06
1210b368a0
13800cb89
1451bc928
1535d4ac3
hex24da478

38642808 has 64 divisors (see below), whose sum is σ = 103017600. Its totient is φ = 12044160.

The previous prime is 38642803. The next prime is 38642809. The reversal of 38642808 is 80824683.

It is a super-2 number, since 2×386428082 = 2986533220249728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38642803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37338 + ... + 38358.

It is an arithmetic number, because the mean of its divisors is an integer number (1609650).

Almost surely, 238642808 is an apocalyptic number.

38642808 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38642808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51508800).

38642808 is an abundant number, since it is smaller than the sum of its proper divisors (64374792).

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

38642808 is a wasteful number, since it uses less digits than its factorization.

38642808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 38642808 is about 6216.3339678624. Note that the first 3 decimals coincide. The cubic root of 38642808 is about 338.0826566287.

The spelling of 38642808 in words is "thirty-eight million, six hundred forty-two thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 83 114 152 166 228 249 332 456 498 664 996 1021 1577 1992 2042 3063 3154 4084 4731 6126 6308 8168 9462 12252 12616 18924 19399 24504 37848 38798 58197 77596 84743 116394 155192 169486 232788 254229 338972 465576 508458 677944 1016916 1610117 2033832 3220234 4830351 6440468 9660702 12880936 19321404 38642808