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838242816 = 293545731
BaseRepresentation
bin110001111101101…
…001001000000000
32011102022010222020
4301331221020000
53204042232231
6215102241440
726525642415
oct6175511000
92142263866
10838242816
113a0191264
121b4886280
13104882988
147d48210c
154d8cd396
hex31f69200

838242816 has 40 divisors (see below), whose sum is σ = 2233135344. Its totient is φ = 279413760.

The previous prime is 838242803. The next prime is 838242833. The reversal of 838242816 is 618242838.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 271330 + ... + 274401.

Almost surely, 2838242816 is an apocalyptic number.

It is an amenable number.

838242816 is an abundant number, since it is smaller than the sum of its proper divisors (1394892528).

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

838242816 is an equidigital number, since it uses as much as digits as its factorization.

838242816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545752 (or 545736 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 838242816 is about 28952.4233182647. The cubic root of 838242816 is about 942.8804116519.

The spelling of 838242816 in words is "eight hundred thirty-eight million, two hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 545731 1091462 1637193 2182924 3274386 4365848 6548772 8731696 13097544 17463392 26195088 34926784 52390176 69853568 104780352 139707136 209560704 279414272 419121408 838242816