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1038397264 = 24179414057
BaseRepresentation
bin111101111001001…
…010111101010000
32200100221001020221
4331321022331100
54111312203024
6251012242424
734506142162
oct7571127520
92610831227
101038397264
1149316a263
1224b910414
13137192368
149bca4932
15612683e4
hex3de4af50

1038397264 has 40 divisors (see below), whose sum is σ = 2133030888. Its totient is φ = 488017920.

The previous prime is 1038397249. The next prime is 1038397271. The reversal of 1038397264 is 4627938301.

It can be written as a sum of positive squares in 4 ways, for example, as 338265664 + 700131600 = 18392^2 + 26460^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1038397264.

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 7 ways as a sum of consecutive naturals, for example, 253924 + ... + 257980.

Almost surely, 21038397264 is an apocalyptic number.

It is an amenable number.

1038397264 is an abundant number, since it is smaller than the sum of its proper divisors (1094633624).

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

1038397264 is a wasteful number, since it uses less digits than its factorization.

1038397264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5023 (or 5017 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 1038397264 is about 32224.1720452210. The cubic root of 1038397264 is about 1012.6386788455.

The spelling of 1038397264 in words is "one billion, thirty-eight million, three hundred ninety-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 941 1882 3764 4057 7528 8114 15056 15997 16228 31994 32456 63988 64912 68969 127976 137938 255952 275876 551752 1103504 3817637 7635274 15270548 30541096 61082192 64899829 129799658 259599316 519198632 1038397264