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1038746172 = 2231711345061
BaseRepresentation
bin111101111010100…
…000001000111100
32200101120202212110
4331322200020330
54111404334142
6251023534020
734512124332
oct7572401074
92611522773
101038746172
11493388412
1224ba5a310
13137285109
149bd55b52
15612d699c
hex3dea023c

1038746172 has 48 divisors (see below), whose sum is σ = 2589082272. Its totient is φ = 322990080.

The previous prime is 1038746167. The next prime is 1038746183. The reversal of 1038746172 is 2716478301.

1038746172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1038746172.

It is a congruent number.

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, 522 + ... + 45582.

It is an arithmetic number, because the mean of its divisors is an integer number (53939214).

Almost surely, 21038746172 is an apocalyptic number.

1038746172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1038746172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294541136).

1038746172 is an abundant number, since it is smaller than the sum of its proper divisors (1550336100).

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

1038746172 is a wasteful number, since it uses less digits than its factorization.

1038746172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45198 (or 45196 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 1038746172 is about 32229.5853525918. The cubic root of 1038746172 is about 1012.7520837961.

The spelling of 1038746172 in words is "one billion, thirty-eight million, seven hundred forty-six thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 113 204 226 339 452 678 1356 1921 3842 5763 7684 11526 23052 45061 90122 135183 180244 270366 540732 766037 1532074 2298111 3064148 4596222 5091893 9192444 10183786 15275679 20367572 30551358 61102716 86562181 173124362 259686543 346248724 519373086 1038746172