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1038838116 = 223296014967
BaseRepresentation
bin111101111010110…
…110100101100100
32200101202102222210
4331322312211210
54111420304431
6251025523420
734512656361
oct7572664544
92611672883
101038838116
114934404a8
1224baa3570
131372b7c14
149bd7b468
1561303d46
hex3deb6964

1038838116 has 48 divisors (see below), whose sum is σ = 2512218240. Its totient is φ = 333715200.

The previous prime is 1038838109. The next prime is 1038838123. The reversal of 1038838116 is 6118388301.

It is an interprime number because it is at equal distance from previous prime (1038838109) and next prime (1038838123).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206665 + ... + 211631.

It is an arithmetic number, because the mean of its divisors is an integer number (52337880).

Almost surely, 21038838116 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 1038838116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256109120).

1038838116 is an abundant number, since it is smaller than the sum of its proper divisors (1473380124).

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

1038838116 is a wasteful number, since it uses less digits than its factorization.

1038838116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5604 (or 5602 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 1038838116 is about 32231.0117123245. The cubic root of 1038838116 is about 1012.7819639641.

The spelling of 1038838116 in words is "one billion, thirty-eight million, eight hundred thirty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 601 1202 1803 2404 3606 4967 7212 9934 14901 17429 19868 29802 34858 52287 59604 69716 104574 144043 209148 288086 432129 576172 864258 1728516 2985167 5970334 8955501 11940668 17911002 35822004 86569843 173139686 259709529 346279372 519419058 1038838116