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38393856 = 211322083
BaseRepresentation
bin1001001001110…
…1100000000000
32200020121110200
42102131200000
534312100411
63450525200
7644225304
oct222354000
980217420
1038393856
111a743966
1210a36800
137c53777
145155d04
153585e56
hex249d800

38393856 has 72 divisors (see below), whose sum is σ = 110941740. Its totient is φ = 12791808.

The previous prime is 38393843. The next prime is 38393857. The reversal of 38393856 is 65839383.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38393857) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17391 + ... + 19473.

Almost surely, 238393856 is an apocalyptic number.

38393856 is a gapful number since it is divisible by the number (36) 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 38393856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55470870).

38393856 is an abundant number, since it is smaller than the sum of its proper divisors (72547884).

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

38393856 is a wasteful number, since it uses less digits than its factorization.

38393856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111 (or 2088 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 38393856 is about 6196.2775922323. The cubic root of 38393856 is about 337.3550719308.

The spelling of 38393856 in words is "thirty-eight million, three hundred ninety-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2083 2304 3072 4166 4608 6144 6249 8332 9216 12498 16664 18432 18747 24996 33328 37494 49992 66656 74988 99984 133312 149976 199968 266624 299952 399936 533248 599904 799872 1066496 1199808 1599744 2132992 2399616 3199488 4265984 4799232 6398976 9598464 12797952 19196928 38393856