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1028706426 = 233112313503
BaseRepresentation
bin111101010100001…
…101000001111010
32122200200200221000
4331110031001322
54101322101201
6250024425430
734330601046
oct7524150172
92580620830
101028706426
11488750400
12248618276
1313517b437
149a8a1026
15604a1d86
hex3d50d07a

1028706426 has 96 divisors (see below), whose sum is σ = 2525765760. Its totient is φ = 310115520.

The previous prime is 1028706407. The next prime is 1028706463. The reversal of 1028706426 is 6246078201.

1028706426 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 7 + 0 + 642 + 6 = 666.

1028706426 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2044891 + ... + 2045393.

It is an arithmetic number, because the mean of its divisors is an integer number (26310060).

Almost surely, 21028706426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028706426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262882880).

1028706426 is an abundant number, since it is smaller than the sum of its proper divisors (1497059334).

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

1028706426 is a wasteful number, since it uses less digits than its factorization.

1028706426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1028706426 is about 32073.4536026291. The cubic root of 1028706426 is about 1009.4786794311.

The spelling of 1028706426 in words is "one billion, twenty-eight million, seven hundred six thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 313 363 503 594 626 726 939 1006 1089 1509 1878 2178 2817 3018 3267 3443 4527 5533 5634 6534 6886 8451 9054 10329 11066 13581 16599 16902 20658 27162 30987 33198 37873 49797 60863 61974 75746 92961 99594 113619 121726 149391 157439 182589 185922 227238 298782 314878 340857 365178 472317 547767 681714 944634 1022571 1095534 1416951 1643301 1731829 2045142 2833902 3286602 3463658 4250853 5195487 8501706 10390974 15586461 19050119 31172922 38100238 46759383 57150357 93518766 114300714 171451071 342902142 514353213 1028706426