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838038872 = 231131973167
BaseRepresentation
bin110001111100110…
…111010101011000
32011101220210012202
4301330313111120
53204014220442
6215054025332
726524133006
oct6174672530
92141823182
10838038872
113a0062010
121b47a8248
13104810bb8
147d42ba76
154d88cc32
hex31f37558

838038872 has 64 divisors (see below), whose sum is σ = 1788272640. Its totient is φ = 364723200.

The previous prime is 838038829. The next prime is 838038907. The reversal of 838038872 is 278830838.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263033 + ... + 266199.

It is an arithmetic number, because the mean of its divisors is an integer number (27941760).

Almost surely, 2838038872 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 838038872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894136320).

838038872 is an abundant number, since it is smaller than the sum of its proper divisors (950233768).

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

838038872 is a wasteful number, since it uses less digits than its factorization.

838038872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 47.

The square root of 838038872 is about 28948.9010499535. The cubic root of 838038872 is about 942.8039380271.

The spelling of 838038872 in words is "eight hundred thirty-eight million, thirty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 22 31 44 62 88 97 124 194 248 341 388 682 776 1067 1364 2134 2728 3007 3167 4268 6014 6334 8536 12028 12668 24056 25336 33077 34837 66154 69674 98177 132308 139348 196354 264616 278696 307199 392708 614398 785416 1079947 1228796 2159894 2457592 3379189 4319788 6758378 8639576 9523169 13516756 19046338 27033512 38092676 76185352 104754859 209509718 419019436 838038872