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38422848 = 263293683
BaseRepresentation
bin1001001010010…
…0100101000000
32200022002020110
42102210211000
534314012343
63451311320
7644405652
oct222444500
980262213
1038422848
111a763722
1210a4b540
137c63a19
1451626d2
15358e833
hex24a4940

38422848 has 56 divisors (see below), whose sum is σ = 102156768. Its totient is φ = 12745216.

The previous prime is 38422847. The next prime is 38422913. The reversal of 38422848 is 84822483.

It is a super-2 number, since 2×384228482 = 2952630496862208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38422843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55915 + ... + 56597.

It is an arithmetic number, because the mean of its divisors is an integer number (1824228).

Almost surely, 238422848 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 38422848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51078384).

38422848 is an abundant number, since it is smaller than the sum of its proper divisors (63733920).

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

38422848 is a wasteful number, since it uses less digits than its factorization.

38422848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 981 counting only the distinct ones).

The product of its digits is 98304, while the sum is 39.

The square root of 38422848 is about 6198.6166198596. The cubic root of 38422848 is about 337.4399651789.

It can be divided in two parts, 384 and 22848, that added together give a palindrome (23232).

The spelling of 38422848 in words is "thirty-eight million, four hundred twenty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 293 586 683 879 1172 1366 1758 2049 2344 2732 3516 4098 4688 5464 7032 8196 9376 10928 14064 16392 18752 21856 28128 32784 43712 56256 65568 131136 200119 400238 600357 800476 1200714 1600952 2401428 3201904 4802856 6403808 9605712 12807616 19211424 38422848