Search a number
-
+
1038042992 = 247233710891
BaseRepresentation
bin111101110111110…
…100011101110000
32200100021001021202
4331313310131300
54111214333432
6251000510332
734503135260
oct7567643560
92610231252
101038042992
11492a48078
1224b77b3a8
1313709a02c
149bc117a0
15611e8462
hex3ddf4770

1038042992 has 80 divisors (see below), whose sum is σ = 2463508992. Its totient is φ = 413994240.

The previous prime is 1038042989. The next prime is 1038042997. The reversal of 1038042992 is 2992408301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038042997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89867 + ... + 100757.

Almost surely, 21038042992 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 1038042992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231754496).

1038042992 is an abundant number, since it is smaller than the sum of its proper divisors (1425466000).

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

1038042992 is a wasteful number, since it uses less digits than its factorization.

1038042992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10966 (or 10960 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 1038042992 is about 32218.6745847808. The cubic root of 1038042992 is about 1012.5235044485.

The spelling of 1038042992 in words is "one billion, thirty-eight million, forty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 23 28 37 46 56 74 92 112 148 161 184 259 296 322 368 518 592 644 851 1036 1288 1702 2072 2576 3404 4144 5957 6808 10891 11914 13616 21782 23828 43564 47656 76237 87128 95312 152474 174256 250493 304948 402967 500986 609896 805934 1001972 1219792 1611868 1753451 2003944 2820769 3223736 3506902 4007888 5641538 6447472 7013804 9268241 11283076 14027608 18536482 22566152 28055216 37072964 45132304 64877687 74145928 129755374 148291856 259510748 519021496 1038042992