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38269296 = 24321320443
BaseRepresentation
bin1001000111111…
…1000101110000
32200000021121100
42101333011300
534244104141
63444124400
7643166202
oct221770560
980007540
1038269296
111a66931a
1210996700
137c0bb70
145122772
15355e0b6
hex247f170

38269296 has 60 divisors (see below), whose sum is σ = 115345048. Its totient is φ = 11774592.

The previous prime is 38269271. The next prime is 38269331. The reversal of 38269296 is 69296283.

38269296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8350 + ... + 12093.

Almost surely, 238269296 is an apocalyptic number.

38269296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38269296 is an abundant number, since it is smaller than the sum of its proper divisors (77075752).

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

38269296 is a wasteful number, since it uses less digits than its factorization.

38269296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20470 (or 20461 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 38269296 is about 6186.2182308742. The cubic root of 38269296 is about 336.9898531463.

The spelling of 38269296 in words is "thirty-eight million, two hundred sixty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 20443 40886 61329 81772 122658 163544 183987 245316 265759 327088 367974 490632 531518 735948 797277 981264 1063036 1471896 1594554 2126072 2391831 2943792 3189108 4252144 4783662 6378216 9567324 12756432 19134648 38269296